We report on the discovery of a significant excess of candidate H|$\alpha $| emitters (HAEs) in the field of the radio galaxy 4C 23.56 at z|$=$| 2.483. Using the MOIRCS near-infrared imager on the Subaru Telescope we found 11 candidate emission-line galaxies to a flux limit of |$\sim$|7.5 |$\times$| 10|$^{-17}\ $|erg s|$^{-1}\ $|cm|$^{-2}$|⁠, which is about 5-times excess from the expected field counts with an |$\sim$| 3-|$\sigma$| significance. Three of these have been spectroscopically confirmed as redshifted H|$\alpha $| at z|$=$| 2.49. The distribution of candidate emitters on the sky is tightly confined to a 1.2-Mpc-radius area at z|$=$| 2.49, locating 4C 23.56 at the western edge of the distribution. An analysis of the deep Spitzer MIPS 24|$\ \mu$|m imaging shows that there is also an excess of faint MIPS sources. All but two of the 11 HAEs are also found in the MIPS data. The inferred star-formation rate (SFR) of the HAEs based on the extinction-corrected H|$\alpha $| luminosity (median SFR|$\gtrsim$| 100|$\ M_{\odot}\ $|yr|$^{-1}\ $|⁠) is similar to those of HAEs in random fields at z|$\sim$| 2. On the other hand, the MIPS-based SFR for the HAEs is on average 3.6-times larger, suggesting the existence of star-formation significanly obscured by dust. A comparison of the H|$\alpha $|-based star-formation activities of the HAEs in the 4C 23.56 field to those in another proto-cluster around PKS 1138|$-$|262 at z|$=$| 2.16 reveals that the latter tend to have fainter H|$\alpha $| emission despite similar |$K$|-band magnitudes. This suggests that star-formation may be suppressed in the PKS 1138|$-$|262 protocluster relative to the 4C 23.56 protocluster. This difference among the HAEs in the two proto-clusters at z|$\gt$| 2 may imply that some massive cluster galaxies are just forming at these epochs with some variation among them.

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