Superconformal block from holographic geometry

Abstract

Abstract We explicitly construct the holographic dual configuration for the four dimensional N $$ \mathcal{N} $$ = 4 superconformal block containing half-BPS scalar primary operators by considering its full AdS 5 × S 5 dual geometry. We extend the embedding space formalism and the related Harmonic analysis to general d-dimensional sphere S d , 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.

Keywords

• AdS-CFT Correspondence
• Conformal Field Models in String Theory