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We study baryonic matter in holographic QCD with D4/D8/\bar{D8} multi-D branesystem in type IIA superstring theory. The baryon is described as the"brane-induced Skyrmion", which is a topologically non-trivial chiral solitonin the four-dimensional meson effective action induced by holographic QCD. Weemploy the "truncated-resonance model" approach for the baryon analysis,including pion and \rho meson fields below the ultraviolet cutoff scale M_KK\sim 1GeV, to keep the holographic duality with QCD. We describe the baryonicmatter in large N_c as single brane-induced Skyrmion on the three-dimensionalclosed manifold S^3 with finite radius R. The interactions between baryons aresimulated by the curvature of the closed manifold S^3, and the decrease of thesize of S^3 represents the increase of the total baryon-number density in themedium in this modeling. We investigate the energy density, the fieldconfiguration, the mass and the root-mean-square radius of single baryon on S^3as the function of its radius R. We find a new picture of "pion dominance" nearthe critical density in the baryonic matter, where all the (axial) vector mesonfields disappear and only the pion field survive. We also find the "swelling"phenomena of the baryons as the precursor of the deconfinement, and propose themechanism of the swelling in general context of QCD. The properties of thedeconfinement and the chiral symmetry restoration in the baryonic matter areexamined by taking the proper order parameters. We also compare ourtruncated-resonance model with another "instanton" description of the baryon inholographic QCD, considering the role of cutoff scale M_KK.

Brane-induced Skyrmion on S^3: baryonic matter in holographic QCD