Heng-Yu ChenJun-ichi SakamotoHENG-YU CHEN2021-07-282021-07-28202011266708https://www.scopus.com/inward/record.uri?eid=2-s2.0-85087435992&doi=10.1007%2fJHEP07%282020%29028&partnerID=40&md5=4f925bc5d418400031b0dd50f9b25d4bhttps://scholars.lib.ntu.edu.tw/handle/123456789/573468We explicitly construct the holographic dual configuration for the four dimensional N = 4 superconformal block containing half-BPS scalar primary operators by considering its full AdS5× S5 dual geometry. We extend the embedding space formalism and the related Harmonic analysis to general d-dimensional sphere Sd, and obtain precisely the R-symmetry contribution to the half-BPS scalar superconformal blocks, which we refer as “R-symmetry block”. We also observe that the R-symmetry quadratic Casimir operator can be mapped to BC2 Calogero-Sutherland system Hamiltonian, such that R-symmetry block is in terms identified as its bound state wave function. ? 2020, The Author(s).journal article10.1007/JHEP07(2020)0282-s2.0-85087435992