Protoclusters, progenitors of local galaxy clusters, are suitable for revealing the impact of large-scale environments on galaxy evolution over cosmic time. However, only either a core or filaments have been found in many of the current known protoclusters, preventing us from understanding how the location in protoclusters is related to the galaxy properties. We here propose conducting a one-night observation of MOIRCS spectroscopic follow-up for a protocluster candidate at z∼3.4. This structure is distinguishable in having a photometrically seen core-like highly concentrated structure and filaments consisting of low-mass galaxies confirmed by deep spectroscopic observation of JWST/NIRSpec. This observation will newly confirm the former core-like structure by determining the spectroscopic redshift of the most massive galaxies from the Balmer break and other star-forming galaxies from their emission lines such as [Oiii] and Hβ. Utilizing the protocluster members confirmed from this observation and JWST/NIRSpec observation, we will investigate the environmental dependence of the star-formation activity and morphology from JWST/NIRCam imaging both in the core and filament in an identical protocluster.
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