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Journal Article
Superconformal block from holographic geometry
2020
Overview
A
bstract
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
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 BC
2
Calogero-Sutherland system Hamiltonian, such that
R
-symmetry block is in terms identified as its bound state wave function.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
