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Chiara Spiniello, Mario Radovich, Anna Ferré-Mateu, Roberto De Propris, Magda Arnaboldi, Francesco La Barbera, Johanna Hartke, Giuseppe D’Ago, Crescenzo Tortora, Davide Bevacqua, Michalina Maksymowicz-Maciata, John Mills, Nicola R Napolitano, Claudia Pulsoni, Paolo Saracco, Diana Scognamiglio, INSPIRE: INvestigating Stellar Population In RElics VIII. Emission lines and UV colours in ultracompact massive galaxies, Monthly Notices of the Royal Astronomical Society, Volume 539, Issue 2, May 2025, Pages 1471–1479, https://doi.org/10.1093/mnras/staf514
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ABSTRACT
We report the discovery of emission lines in the optical spectra of ultracompact massive galaxies (UCMGs) from INSPIRE including relics, which are the oldest galaxies in the Universe. Emission-lines diagnostic diagrams suggest that all these UCMGs, independently of their star formation histories, are ‘retired galaxies’. They are inconsistent with being star-forming but lie in the same region of shock-driven emissions or photoionization models, incorporating the contribution from post-asymptotic giant branch (pAGB) stars. Furthermore, all but one INSPIRE objects have a high [O ii]/H
1 INTRODUCTION
Relic galaxies (Trujillo et al. 2009, 2014; Ferré-Mateu et al. 2017) are the local descendants of high-redshift red nuggets that have completely missed the size-growth evolutionary phase (Daddi et al. 2005; Trujillo et al. 2007; Buitrago et al. 2008; van Dokkum et al. 2008; Naab et al. 2014) and have evolved passively and undisturbed from their first intense and fast high-z star formation (SF) burst. Since they are made almost exclusively of ‘in situ’ very old stars, like the innermost regions of massive galaxies (e.g. La Barbera et al. 2019; Barbosa et al. 2021) they provide a unique opportunity to track the evolution of this stellar component, which is mixed with the accreted one in normal early-type galaxies (ETGs). They are the ideal systems to investigate and understand the mass assembly in the early Universe with the amount of detail currently available only for galaxies in the local Universe. Moreover, since the number density of relics and its redshift evolution depends strongly on the processes acting during the size growth and how they are modelled, counting relics at low-z is an incredibly valuable way to disentangle between different galaxy evolution models.
Recent claims have reported the presence of a sub-per cent fraction of young stellar populations in the innermost region of very massive galaxies and bright cluster galaxies (Salvador-Rusiñol et al. 2021). This is the region where the pristine (i.e. in situ), oldest stars should dominate the light budget (Barbosa et al. 2021). Moreover, the same amount of younger stars (
The paper is organized as follows. In Section 2 we briefly describe the data used in this paper, highlighting the definition and selection of ultracompact massive galaxies (UCMGs) and the confirmation of their relic nature. In Section 3 we analyse the emission lines, obtain ratios, and plot diagnostic diagrams to investigate their origins. In Section 4 we focus on the UV, analysing the
Throughout the paper, we assume a standard
2 THE SAMPLE
In this paper, we leverage the INvestigating Stellar Population In RElics (INSPIRE; Spiniello et al. 2021b, 2024; D’Ago et al. 2023; ) data set. INSPIRE is based on an ESO Large Programme that targets 52 spectroscopically confirmed UCMGs at
From UVB-to-NIR high-resolution, medium signal-to-noise (SNR) spectra,1 we have measured the integrated stellar kinematics (D’Ago et al. 2023), as well as stellar population age, metallicity, [Mg/Fe] abundances, and the IMF slope (Martín-Navarro et al. 2023; Maksymowicz-Maciata et al. 2024). Of these UCMGs, 38 have been classified as relics, since they formed more than 75 per cent of their stellar masses already by
We use here the 52 INSPIRE UVB+VIS XSH spectra to measure emission lines, as described in the next section.
3 EMISSION LINES
In roughly half of the spectra released in the third INSPIRE data release (DR3, S24), we observe convincing evidence for emission lines from [O ii] (
Weak emissions are also detected in [O iii] (
Unfortunately, the SNRs of most emission lines are generally low (
To compute EWs and fluxes, we use a Python code, based on the lmfit library,2 that fits emission lines with Gaussian profiles. We also note that for [O ii](
The fluxes of all emission lines that pass the above thresholds are provided in the central block of columns in Table 1, along with their uncertainties, in units of
Emission lines fluxes for the INSPIRE galaxies. For each object, we give ID and DoR (computed in S24) in the first block of columns, the flux with uncertainties of all the lines we use in this letter in the second block, and GALEX observed magnitudes and the
GALAXY . | DoR . | [O ii] . | H | [O iii] . | H | [N ii] . | [S ii] . | FUV . | NUV . | NUV-r . |
---|---|---|---|---|---|---|---|---|---|---|
ID . | . | (mag) . | (mag) . | . | ||||||
J0211-3155 | 0.72 | – | – | – | – | 23.42 | 3.64 | |||
J0224-3143 | 0.56 | – | – | – | – | – | – | – | – | – |
J0226-3158 | 0.12 | – | – | – | – | – | – | 23.27 | 4.02 | |
J0240-3141 | 0.43 | – | – | – | – | – | – | |||
J0314-3215 | 0.42 | – | – | – | ||||||
J0316-2953 | 0.40 | – | – | – | – | – | 22.87 | 3.21 | ||
J0317-2957 | 0.51 | – | – | – | – | – | – | – | – | – |
J0321-3213 | 0.37 | – | – | – | – | |||||
J0326-3303 | 0.25 | – | – | – | – | – | – | – | – | |
J0838+0052 | 0.54 | – | – | – | – | – | – | – | ||
J0842+0059 | 0.73 | – | – | – | – | |||||
J0844+0148 | 0.45 | – | – | – | 22.26 | 2.48 | ||||
J0847+0112 | 0.83 | – | 23.40 | 4.99 | ||||||
J0857−0108 | 0.39 | – | – | – | – | – | – | 24.07 | 4.86 | |
J0904−0018 | 0.32 | – | – | – | – | – | – | 23.17 | 22.20 | 3.09 |
J0909+0147 | 0.79 | – | – | – | – | – | – | – | ||
J0917−0123 | 0.44 | – | – | – | ||||||
J0918+0122 | 0.43 | – | – | – | – | – | 24.12 | 4.99 | ||
J0920+0126 | 0.25 | – | – | – | – | – | – | – | ||
J0920+0212 | 0.64 | – | – | – | – | – | 22.77 | 22.27 | 3.40 | |
J1026+0033 | 0.29 | – | – | – | 22.92 | 21.58 | 4.19 | |||
J1040+0056 | 0.77 | – | – | – | – | |||||
J1114+0039 | 0.40 | – | – | – | – | – | – | – | – | – |
J1128−0153 | 0.34 | – | – | – | – | – | 23.29 | 4.73 | ||
J1142+0012 | 0.18 | 21.97 | 21.34 | 4.32 | ||||||
J1154−0016 | 0.11 | – | – | – | – | – | – | – | 23.71 | 4.19 |
J1156−0023 | 0.30 | – | – | – | – | – | ||||
J1202+0251 | 0.36 | – | – | – | – | – | – | – | – | – |
J1218+0232 | 0.45 | – | – | – | 23.23 | 4.00 | ||||
J1228−0153 | 0.39 | – | – | – | – | – | ||||
J1402+0117 | 0.31 | – | – | – | – | |||||
J1411+0233 | 0.41 | – | – | – | – | – | – | – | – | |
J1412−0020 | 0.61 | – | – | – | – | – | – | – | 22.54 | 3.35 |
J1414+0004 | 0.36 | – | – | – | – | |||||
J1417+0106 | 0.33 | – | – | – | – | – | – | – | – | |
J1420−0035 | 0.41 | – | – | – | – | – | – | – | ||
J1436+0007 | 0.33 | – | – | – | – | – | ||||
J1438−0127 | 0.78 | – | – | – | – | – | ||||
J1447−0149 | 0.38 | – | 23.32 | 4.71 | ||||||
J1449−0138 | 0.60 | – | – | – | – | – | – | |||
J1456+0020 | 0.17 | – | 23.02 | 23.18 | 3.72 | |||||
J1457−0140 | 0.47 | – | – | – | – | – | – | – | 23.53 | 4.10 |
J1527−0012 | 0.38 | – | – | – | – | – | – | – | – | – |
J1527−0023 | 0.37 | – | – | – | – | – | 23.99 | 4.35 | ||
J2202−3101 | 0.48 | – | – | – | – | |||||
J2204−3112 | 0.78 | – | – | – | – | – | – | – | ||
J2257−3306 | 0.27 | – | – | – | – | – | – | – | – | |
J2305−3436 | 0.80 | – | – | – | – | – | – | – | – | |
J2312−3438 | 0.36 | – | – | – | – | – | – | – | – | |
J2327−3312 | 0.06 | – | – | – | – | |||||
J2356−3332 | 0.44 | – | – | 23.27 | 3.46 | |||||
J2359−3320 | 0.71 | – | – | – | – | – | – | – | – |
GALAXY . | DoR . | [O ii] . | H | [O iii] . | H | [N ii] . | [S ii] . | FUV . | NUV . | NUV-r . |
---|---|---|---|---|---|---|---|---|---|---|
ID . | . | (mag) . | (mag) . | . | ||||||
J0211-3155 | 0.72 | – | – | – | – | 23.42 | 3.64 | |||
J0224-3143 | 0.56 | – | – | – | – | – | – | – | – | – |
J0226-3158 | 0.12 | – | – | – | – | – | – | 23.27 | 4.02 | |
J0240-3141 | 0.43 | – | – | – | – | – | – | |||
J0314-3215 | 0.42 | – | – | – | ||||||
J0316-2953 | 0.40 | – | – | – | – | – | 22.87 | 3.21 | ||
J0317-2957 | 0.51 | – | – | – | – | – | – | – | – | – |
J0321-3213 | 0.37 | – | – | – | – | |||||
J0326-3303 | 0.25 | – | – | – | – | – | – | – | – | |
J0838+0052 | 0.54 | – | – | – | – | – | – | – | ||
J0842+0059 | 0.73 | – | – | – | – | |||||
J0844+0148 | 0.45 | – | – | – | 22.26 | 2.48 | ||||
J0847+0112 | 0.83 | – | 23.40 | 4.99 | ||||||
J0857−0108 | 0.39 | – | – | – | – | – | – | 24.07 | 4.86 | |
J0904−0018 | 0.32 | – | – | – | – | – | – | 23.17 | 22.20 | 3.09 |
J0909+0147 | 0.79 | – | – | – | – | – | – | – | ||
J0917−0123 | 0.44 | – | – | – | ||||||
J0918+0122 | 0.43 | – | – | – | – | – | 24.12 | 4.99 | ||
J0920+0126 | 0.25 | – | – | – | – | – | – | – | ||
J0920+0212 | 0.64 | – | – | – | – | – | 22.77 | 22.27 | 3.40 | |
J1026+0033 | 0.29 | – | – | – | 22.92 | 21.58 | 4.19 | |||
J1040+0056 | 0.77 | – | – | – | – | |||||
J1114+0039 | 0.40 | – | – | – | – | – | – | – | – | – |
J1128−0153 | 0.34 | – | – | – | – | – | 23.29 | 4.73 | ||
J1142+0012 | 0.18 | 21.97 | 21.34 | 4.32 | ||||||
J1154−0016 | 0.11 | – | – | – | – | – | – | – | 23.71 | 4.19 |
J1156−0023 | 0.30 | – | – | – | – | – | ||||
J1202+0251 | 0.36 | – | – | – | – | – | – | – | – | – |
J1218+0232 | 0.45 | – | – | – | 23.23 | 4.00 | ||||
J1228−0153 | 0.39 | – | – | – | – | – | ||||
J1402+0117 | 0.31 | – | – | – | – | |||||
J1411+0233 | 0.41 | – | – | – | – | – | – | – | – | |
J1412−0020 | 0.61 | – | – | – | – | – | – | – | 22.54 | 3.35 |
J1414+0004 | 0.36 | – | – | – | – | |||||
J1417+0106 | 0.33 | – | – | – | – | – | – | – | – | |
J1420−0035 | 0.41 | – | – | – | – | – | – | – | ||
J1436+0007 | 0.33 | – | – | – | – | – | ||||
J1438−0127 | 0.78 | – | – | – | – | – | ||||
J1447−0149 | 0.38 | – | 23.32 | 4.71 | ||||||
J1449−0138 | 0.60 | – | – | – | – | – | – | |||
J1456+0020 | 0.17 | – | 23.02 | 23.18 | 3.72 | |||||
J1457−0140 | 0.47 | – | – | – | – | – | – | – | 23.53 | 4.10 |
J1527−0012 | 0.38 | – | – | – | – | – | – | – | – | – |
J1527−0023 | 0.37 | – | – | – | – | – | 23.99 | 4.35 | ||
J2202−3101 | 0.48 | – | – | – | – | |||||
J2204−3112 | 0.78 | – | – | – | – | – | – | – | ||
J2257−3306 | 0.27 | – | – | – | – | – | – | – | – | |
J2305−3436 | 0.80 | – | – | – | – | – | – | – | – | |
J2312−3438 | 0.36 | – | – | – | – | – | – | – | – | |
J2327−3312 | 0.06 | – | – | – | – | |||||
J2356−3332 | 0.44 | – | – | 23.27 | 3.46 | |||||
J2359−3320 | 0.71 | – | – | – | – | – | – | – | – |
Emission lines fluxes for the INSPIRE galaxies. For each object, we give ID and DoR (computed in S24) in the first block of columns, the flux with uncertainties of all the lines we use in this letter in the second block, and GALEX observed magnitudes and the
GALAXY . | DoR . | [O ii] . | H | [O iii] . | H | [N ii] . | [S ii] . | FUV . | NUV . | NUV-r . |
---|---|---|---|---|---|---|---|---|---|---|
ID . | . | (mag) . | (mag) . | . | ||||||
J0211-3155 | 0.72 | – | – | – | – | 23.42 | 3.64 | |||
J0224-3143 | 0.56 | – | – | – | – | – | – | – | – | – |
J0226-3158 | 0.12 | – | – | – | – | – | – | 23.27 | 4.02 | |
J0240-3141 | 0.43 | – | – | – | – | – | – | |||
J0314-3215 | 0.42 | – | – | – | ||||||
J0316-2953 | 0.40 | – | – | – | – | – | 22.87 | 3.21 | ||
J0317-2957 | 0.51 | – | – | – | – | – | – | – | – | – |
J0321-3213 | 0.37 | – | – | – | – | |||||
J0326-3303 | 0.25 | – | – | – | – | – | – | – | – | |
J0838+0052 | 0.54 | – | – | – | – | – | – | – | ||
J0842+0059 | 0.73 | – | – | – | – | |||||
J0844+0148 | 0.45 | – | – | – | 22.26 | 2.48 | ||||
J0847+0112 | 0.83 | – | 23.40 | 4.99 | ||||||
J0857−0108 | 0.39 | – | – | – | – | – | – | 24.07 | 4.86 | |
J0904−0018 | 0.32 | – | – | – | – | – | – | 23.17 | 22.20 | 3.09 |
J0909+0147 | 0.79 | – | – | – | – | – | – | – | ||
J0917−0123 | 0.44 | – | – | – | ||||||
J0918+0122 | 0.43 | – | – | – | – | – | 24.12 | 4.99 | ||
J0920+0126 | 0.25 | – | – | – | – | – | – | – | ||
J0920+0212 | 0.64 | – | – | – | – | – | 22.77 | 22.27 | 3.40 | |
J1026+0033 | 0.29 | – | – | – | 22.92 | 21.58 | 4.19 | |||
J1040+0056 | 0.77 | – | – | – | – | |||||
J1114+0039 | 0.40 | – | – | – | – | – | – | – | – | – |
J1128−0153 | 0.34 | – | – | – | – | – | 23.29 | 4.73 | ||
J1142+0012 | 0.18 | 21.97 | 21.34 | 4.32 | ||||||
J1154−0016 | 0.11 | – | – | – | – | – | – | – | 23.71 | 4.19 |
J1156−0023 | 0.30 | – | – | – | – | – | ||||
J1202+0251 | 0.36 | – | – | – | – | – | – | – | – | – |
J1218+0232 | 0.45 | – | – | – | 23.23 | 4.00 | ||||
J1228−0153 | 0.39 | – | – | – | – | – | ||||
J1402+0117 | 0.31 | – | – | – | – | |||||
J1411+0233 | 0.41 | – | – | – | – | – | – | – | – | |
J1412−0020 | 0.61 | – | – | – | – | – | – | – | 22.54 | 3.35 |
J1414+0004 | 0.36 | – | – | – | – | |||||
J1417+0106 | 0.33 | – | – | – | – | – | – | – | – | |
J1420−0035 | 0.41 | – | – | – | – | – | – | – | ||
J1436+0007 | 0.33 | – | – | – | – | – | ||||
J1438−0127 | 0.78 | – | – | – | – | – | ||||
J1447−0149 | 0.38 | – | 23.32 | 4.71 | ||||||
J1449−0138 | 0.60 | – | – | – | – | – | – | |||
J1456+0020 | 0.17 | – | 23.02 | 23.18 | 3.72 | |||||
J1457−0140 | 0.47 | – | – | – | – | – | – | – | 23.53 | 4.10 |
J1527−0012 | 0.38 | – | – | – | – | – | – | – | – | – |
J1527−0023 | 0.37 | – | – | – | – | – | 23.99 | 4.35 | ||
J2202−3101 | 0.48 | – | – | – | – | |||||
J2204−3112 | 0.78 | – | – | – | – | – | – | – | ||
J2257−3306 | 0.27 | – | – | – | – | – | – | – | – | |
J2305−3436 | 0.80 | – | – | – | – | – | – | – | – | |
J2312−3438 | 0.36 | – | – | – | – | – | – | – | – | |
J2327−3312 | 0.06 | – | – | – | – | |||||
J2356−3332 | 0.44 | – | – | 23.27 | 3.46 | |||||
J2359−3320 | 0.71 | – | – | – | – | – | – | – | – |
GALAXY . | DoR . | [O ii] . | H | [O iii] . | H | [N ii] . | [S ii] . | FUV . | NUV . | NUV-r . |
---|---|---|---|---|---|---|---|---|---|---|
ID . | . | (mag) . | (mag) . | . | ||||||
J0211-3155 | 0.72 | – | – | – | – | 23.42 | 3.64 | |||
J0224-3143 | 0.56 | – | – | – | – | – | – | – | – | – |
J0226-3158 | 0.12 | – | – | – | – | – | – | 23.27 | 4.02 | |
J0240-3141 | 0.43 | – | – | – | – | – | – | |||
J0314-3215 | 0.42 | – | – | – | ||||||
J0316-2953 | 0.40 | – | – | – | – | – | 22.87 | 3.21 | ||
J0317-2957 | 0.51 | – | – | – | – | – | – | – | – | – |
J0321-3213 | 0.37 | – | – | – | – | |||||
J0326-3303 | 0.25 | – | – | – | – | – | – | – | – | |
J0838+0052 | 0.54 | – | – | – | – | – | – | – | ||
J0842+0059 | 0.73 | – | – | – | – | |||||
J0844+0148 | 0.45 | – | – | – | 22.26 | 2.48 | ||||
J0847+0112 | 0.83 | – | 23.40 | 4.99 | ||||||
J0857−0108 | 0.39 | – | – | – | – | – | – | 24.07 | 4.86 | |
J0904−0018 | 0.32 | – | – | – | – | – | – | 23.17 | 22.20 | 3.09 |
J0909+0147 | 0.79 | – | – | – | – | – | – | – | ||
J0917−0123 | 0.44 | – | – | – | ||||||
J0918+0122 | 0.43 | – | – | – | – | – | 24.12 | 4.99 | ||
J0920+0126 | 0.25 | – | – | – | – | – | – | – | ||
J0920+0212 | 0.64 | – | – | – | – | – | 22.77 | 22.27 | 3.40 | |
J1026+0033 | 0.29 | – | – | – | 22.92 | 21.58 | 4.19 | |||
J1040+0056 | 0.77 | – | – | – | – | |||||
J1114+0039 | 0.40 | – | – | – | – | – | – | – | – | – |
J1128−0153 | 0.34 | – | – | – | – | – | 23.29 | 4.73 | ||
J1142+0012 | 0.18 | 21.97 | 21.34 | 4.32 | ||||||
J1154−0016 | 0.11 | – | – | – | – | – | – | – | 23.71 | 4.19 |
J1156−0023 | 0.30 | – | – | – | – | – | ||||
J1202+0251 | 0.36 | – | – | – | – | – | – | – | – | – |
J1218+0232 | 0.45 | – | – | – | 23.23 | 4.00 | ||||
J1228−0153 | 0.39 | – | – | – | – | – | ||||
J1402+0117 | 0.31 | – | – | – | – | |||||
J1411+0233 | 0.41 | – | – | – | – | – | – | – | – | |
J1412−0020 | 0.61 | – | – | – | – | – | – | – | 22.54 | 3.35 |
J1414+0004 | 0.36 | – | – | – | – | |||||
J1417+0106 | 0.33 | – | – | – | – | – | – | – | – | |
J1420−0035 | 0.41 | – | – | – | – | – | – | – | ||
J1436+0007 | 0.33 | – | – | – | – | – | ||||
J1438−0127 | 0.78 | – | – | – | – | – | ||||
J1447−0149 | 0.38 | – | 23.32 | 4.71 | ||||||
J1449−0138 | 0.60 | – | – | – | – | – | – | |||
J1456+0020 | 0.17 | – | 23.02 | 23.18 | 3.72 | |||||
J1457−0140 | 0.47 | – | – | – | – | – | – | – | 23.53 | 4.10 |
J1527−0012 | 0.38 | – | – | – | – | – | – | – | – | – |
J1527−0023 | 0.37 | – | – | – | – | – | 23.99 | 4.35 | ||
J2202−3101 | 0.48 | – | – | – | – | |||||
J2204−3112 | 0.78 | – | – | – | – | – | – | – | ||
J2257−3306 | 0.27 | – | – | – | – | – | – | – | – | |
J2305−3436 | 0.80 | – | – | – | – | – | – | – | – | |
J2312−3438 | 0.36 | – | – | – | – | – | – | – | – | |
J2327−3312 | 0.06 | – | – | – | – | |||||
J2356−3332 | 0.44 | – | – | 23.27 | 3.46 | |||||
J2359−3320 | 0.71 | – | – | – | – | – | – | – | – |
In the following, we will make use of line-line plots and emission line diagnostic to investigate the possible origin of emission in UCMGs and relics.
3.1 [O ii]/H bimodality
Yan et al. (2006, hereafter Y06) reported the discovery of a bimodality in [O ii]/ H
![The distribution of INSPIRE galaxies in $\log$H$\alpha$ – $\log$[O ii] EWs, and colour-coded by DoR. Objects on the left side of the black dashed lines are classified as ‘High [O ii]/H$\alpha$’. The only ‘Low [O ii]/H$\alpha$’ galaxy from the INSPIRE sample is J1142+0122, which shows clear sign of AGN activity in its spectrum. Squares denote objects with a match in GALEX.](https://oup.silverchair-cdn.com/oup/backfile/Content_public/Journal/mnras/539/2/10.1093_mnras_staf514/1/m_staf514fig1.jpeg?Expires=1749149077&Signature=EIAXKbBLm~YR7MPJLm6fFXbOMTeRFOsEhxjdJzwBG2k9dSPORv-fUXmTFpWFxHT-gBERmQFDj469AmWgEOkpX7EXG2bfXiNYHXbX2aRl27dafhz~hFKlbIclmoDgEPMmwQ9x4QllbKq~VmU9eHnyjArGb4pAQ9oCASVOt7dWvM4GrTqnVDwPlvIq61UxpONGqqNfst84ao6S~8Jr5RW1oY8ijuScEyvTH6fVlrclzxfL0fnSvFa2Yw5B1gqHOMf4496A9ABDM5uwjcTOKce6LXtSYYl-aiKBOTZXsfWi4j~DiFIgLRCOt8zYPaKHNZjUBGiGkQeWKVXJnDrUeLIMPQ__&Key-Pair-Id=APKAIE5G5CRDK6RD3PGA)
The distribution of INSPIRE galaxies in
All but one object are classified as’High [O ii]/H
The only system classified as ‘Low [O ii]/H
3.2 BPT and WHAN diagnostic diagrams
We use the classical emission-line diagnostics diagram (Baldwin, Phillips & Terlevich 1981; Rola, Terlevich & Terlevich 1997; Kauffmann et al. 2003) to further investigate on the possible source generating emission lines in red UCMGs, including in those classified as relics (

The BPT diagrams with the classifying scheme (dashed lines, from left to right): SF demarcations from Kewley et al. (2001); Kauffmann et al. (2003); SF (Kewley et al. 2001) and AGN/LINER (Kewley et al. 2006) demarcations; maximum SF value (Kewley, Geller & Jansen 2004). Top: The line ratios of INSPIRE points, colour-coded by the DoR, on top of predictions from SF models (grey dots). Squares are galaxies with a match in GALEX. Middle: Emission line ratios from the shock models by Alarie & Morisset (2019) with the parameters as described in the legend and in the text. Bottom: Emission line ratios from the MP23 photoionization models with parameters as shown in the legend.
First, we consider the shock models from Alarie & Morisset (2019), available in the Mexican Million Database (3MdB: Morisset, Delgado-Inglada & Flores-Fajardo 2015).4 The models were derived using the mappings v code (Sutherland & Dopita 2017), which allows us to retrieve emission lines produced in a shocked gas, both with and without the presence of the so-called precursor.5 The middle panel of Fig. 2 displays the line ratios produced by the shock models with parameters as described in Allen et al. (2008). In particular, we consider:
only pure shock models, since adding the precursor would produce [O iii]/H
ratios much higher than the value observed in INSPIRE UCMGs;models with solar (
, blue and light blue) and twice solar ( , red) metallicities;models with shock velocities
with values between 100 km s (small points) and 500 km s (big circle);pre-shock densities of
cm (light blue) and cm (blue) for the solar metallicity models and = 1 cm (the only available) for the supersolar models;models with transverse magnetic fields of
, 1, 5, 10 G cm .
Secondly, we use the models by Martínez-Paredes et al. (2023, MP23 hereafter) who recently presented a large set of photoionization models, which are publicly available in the CB_19 table of 3MdB. We refer to MP23 for details of how the models were computed and the description of their parameters. In short, the photoionization code cloudy (Ferland et al. 2017, v. 17.03) has been used to compute emission line ratios adopting as a ionizing source the population synthesis models described in Plat et al. (2019) and Sánchez et al. (2022) that include the contribution from pAGB stars (also defined as HOLMES: hot low-mass evolved stars). We select from the MP23 models the ones that give line ratios close to those measured in the INSPIRE galaxies. They are displayed in the bottom panel of Fig. 2, where the models are chosen to have the following:
a single stellar population (SSP) with a Kroupa IMF up to 100 solar masses (RB–SSP–Kroup–MU100) and an age of 1 Gyr as the ionizing source. However we note that similar line ratios would be obtained changing the age of the models up to 10 Gyr;
metallicity of
([M/H] = 0.22), as from the stellar population analysis performed in S24 we conclude that UCMGs are consistent with supersolar metallicities. We note that selecting models with solar metallicities would produce BPT ratios only slightly shifted to the SF region;an ionization parameter
;a density
cm ;values of the H
fraction defining the thickness of the ionized cloud between 0 and 1;CNO gas abundances: C/O = [0.1, 0.44],
N/O = [ ],6 12 + OH = 9.14.
With the exception of J1142+0012, models with ionization dominated by pAGB stars allow to reproduce well the emission line ratios observed in the INSPIRE UCMGs. Nevertheless, as shown by Stasińska et al. (2008) and further discussed by Cid Fernandes et al. (2011), retired galaxies (i.e. emission-line galaxies that have stopped forming stars and are ionized by hot low-mass evolved stars) have the same location in the BPT diagram as galaxies hosting weak AGNs. According to Lee et al. (2024), photoionization by pAGB stars and interstellar shocks can only be distinguished with in-depth analysis, for instance using temperature predictions.
To try to more precisely separate pure SF galaxies, AGN hosts (strong and weak) and passive galaxies (i.e. retired, red, and dead galaxies) we use the so-called WHAN diagram (Cid Fernandes et al. 2011) showing the [N ii]/H

The WHAN diagram (Cid Fernandes et al. 2011) for the INSPIRE galaxies, colour-coded by their DoR. Squares are objects with a match in GALEX. Dashed lines separate SF from LINERs and AGNs. The only system consistent with being a LINER is J1142+0012.
4 UV DETECTION
To acquire an independent line of evidence on the possible origin of emission lines, in this section we look at the UV fluxes for INSPIRE objects. Unfortunately, the SNR of X-Shooter spectra of single galaxies is too low in the UV. Hence, to investigate whether the INSPIRE UCMGs have detectable UV fluxes, we cross-match the INSPIRE catalogue with data from the Galaxy Evolution Explorer (Morrissey et al. 2007), matching sources to GALEX photometry within 10 arcsec. We caution the reader that the spatial resolution of GALEX is suboptimal when matching ultracompact galaxies, with sizes smaller than the nominal survey resolution (FWHM
Among the 52 INSPIRE objects, 20 have a match, with near-UV (
The top panel of Fig. 4 shows the

Top:
However, another equally valid scenario can reproduce the
Importantly, we point out that the presence of a sub-per cental population of young stars is not in disagreement with our analysis of the main ionization mechanism of emission lines (Section 3). In fact, the latter constrains the presence of SF on a much shorter time-scale (of the order of few Myr) compared to UV colours.
To further address this issue, we estimate the star formation rate (SFR) for the only six systems with a match in GALEX and a measured H
where
At this point, we compute the stellar mass that would be formed in
In conclusion, since
5 DISCUSSION AND CONCLUSIONS
In this paper we have reported the detection of emission lines and significant NUV emission in the UVB + VIS spectra of about half of the INSPIRE UCMGs, including some of the most extreme relics.
The [O ii] emission line, which is the strongest that we detect in the INSPIRE galaxies, has been widely used in the literature as an empirical SF rate indicator, calibrated through comparison with Hydrogen lines (e.g. Gallagher, Bushouse & Hunter 1989; Rosa-González, Terlevich & Terlevich 2002; Kewley et al. 2004). However, the situation is controversial as the same emission line, and others such as [N ii] and H
We find emission lines for galaxies at all DoR, including some of the most extreme relics. All but one object (J1142+0012) have a high [O ii]/H
We also looked at the
The analysis we presented here allowed us to completely exclude that the emission lines are caused by star formation, but it is unfortunately unable to disentangle between shock-driven emission or pAGBs stars. Furthermore, a small contribution from the central AGN is still possible, although disfavoured. The only way forward in this sense is to obtain high spatial resolution spectroscopy and (far and near) UV-deep imaging to be able to resolve the stellar populations and the internal structure of the most compact and dense massive galaxies in the nearby Universe.
ACKNOWLEDGEMENTS
We acknowledge the usage of the Mexican Million Database (Morisset et al. 2015). CS, CT, FLB, DB, and PS acknowledge funding from the INAF PRIN-INAF 2020 programme 1.05.01.85.11. JH and CS acknowledge the financial support from the mobility programme of the Finnish Centre for Astronomy with ESO (FINCA), funded by the Academy of Finland grant nr 306531. AFM has received support from RYC2021-031099-I and PID2021-123313NA-I00 of MICIN/AEI/10.13039/501100011033/FEDER,UE, NextGenerationEU/PRT. CT acknowledges the INAF grant 2022 LEMON. GD acknowledges support by UKRI-STFC grants: ST/T003081/1 and ST/X001857/1. MR acknowledges financial support from the INAF mini-grant 2022 ‘GALCLOCK’.
DATA AVAILABILITY
The INSPIRE spectra used in this paper are publicly available through the ESO Phase 3 Archive Science Portal under the collection INSPIRE (https://archive.eso.org/scienceportal/home?data_collection = INSPIRE, https:https://doi.eso.org/10.18727/archive/36).
Footnotes
Publicly available through the ESO Phase 3 Science Archive
Note that, in Fig. 1, we plot the EWs of the lines, rather than their fluxes.
The precursor is where the gas entering the shock is photoionized by the UV radiation emitted by the shocked gas.
Defined in MP23 as the deviation from the (N/O) to (O/H) ratio as defined in Gutkin et al. (2016)
Optical r-band magnitudes have been retrieved from KiDS DR4 (Kuijken et al. 2019).
We stress that this assumption does not change the results as the effect of changing the metallicity on the
Excluding J1142+0012 which is an AGN.
We note that we did not apply any correction for extinction. However, for the 5 systems for which H