Work

Superconformal block from holographic geometry

Year: 2020
Type: article
Abstract: We explicitly construct the holographic dual configuration for the four dimensional $$ \mathcal{N} $$ 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.
Authors: Heng-Yu Chen, Jun-ichi Sakamoto
Language: English
Open Access status: diamond
OpenAlex ID: W3013574679
FWCI: 0.332
Cites: 28
Cited by: 4
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