AdS3 four-point functions from 1 8 $$ \frac{1}{8} $$ -BPS states

Abstract We compute four-point functions in the Heavy-Heavy-Light-Light limit involving a large family of 1 8 $$ \frac{1}{8} $$ -BPS heavy states whose dual supergravity solutions are explicitly known, avoiding the use of Witten diagrams. This is achieved by using the AdS/CFT dictionary of type IIB...

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Bibliographic Details
Main Authors: Alessandro Bombini, Andrea Galliani
Format: Article
Language:English
Published: SpringerOpen 2019-06-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP06(2019)044
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Summary:Abstract We compute four-point functions in the Heavy-Heavy-Light-Light limit involving a large family of 1 8 $$ \frac{1}{8} $$ -BPS heavy states whose dual supergravity solutions are explicitly known, avoiding the use of Witten diagrams. This is achieved by using the AdS/CFT dictionary of type IIB supergravity on AdS3 × S 3 × ℳ4 that maps supersymmetric heavy operators whose conformal dimension is the order of the central charge to explicit asymp-totically AdS supergravity solutions. Using the Ward Identities for the generators of the N = 4 4 $$ \mathcal{N}=\left(4,4\right) $$ superconformalSU(2)Kac-Moodyalgebra,wecanrelateallofthesefour-point functions to each other and to other known four-point functions involving 1 4 $$ \frac{1}{4} $$ -BPS heavy states, furnishing non-trivial checks of the computations. Finally, the Ward Identities can be employed to reconstruct the all-light four-point functions, providing the first holographic correlators of single-trace operators computed in AdS3 involving 1 8 $$ \frac{1}{8} $$ -BPS operators.
ISSN:1029-8479