Work

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

Year: 2019

Type: article

Abstract: We compute four-point functions in the Heavy-Heavy-Light-Light limit involving a large family of $$ \frac{1}{8} $$ 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 $$ \mathcal{N}=\left(4,4\right) $$ N = 4 4 superconformalSU(2)Kac-Moodyalgebra,wecanrelateallofthesefour-point functions to each other and to other known four-point functions involving $$ \frac{1}{4} $$ 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 $$ \frac{1}{8} $$ 1 8 -BPS operators.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep06(2019)044

Authors: Alessandro Bombini, Andrea Galliani