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

We compute four-point functions in the Heavy-Heavy-Light-Light limit involving a large family of 18\[ \frac{1}{8} \] -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 supergravit...

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Bibliographic Details
Published in:The journal of high energy physics 2019-06, Vol.2019 (6), p.1-35
Main Authors: Bombini, Alessandro, Galliani, Andrea
Format: Article
Language:English
Subjects:
Correlators
High energy physics
Operators
Supergravity
Supersymmetry
Online Access:Get full text
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Summary:We compute four-point functions in the Heavy-Heavy-Light-Light limit involving a large family of 18\[ \frac{1}{8} \] -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 × S3 × 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=44\[ \mathcal{N}=\left(4,4\right) \] superconformalSU(2)Kac-Moodyalgebra,wecanrelateallofthesefour-point functions to each other and to other known four-point functions involving 14\[ \frac{1}{4} \]-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 18\[ \frac{1}{8} \]-BPS operators.
ISSN:1029-8479
DOI:10.1007/JHEP06(2019)044