Superconformal block from holographic geometry
Journal
Journal of High Energy Physics
Journal Volume
2020
Journal Issue
7
Date Issued
2020
Author(s)
Abstract
We 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).
Type
journal article