TT¯-deformations, AdS/CFT and correlation functions

A bstract A solvable irrelevant deformation of AdS 3 /CFT 2 correspondence leading to a theory with Hagedorn spectrum at high energy has been recently proposed. It consists of a single trace deformation of the boundary theory, which is inspired by the recent work on solvable T T ¯ deformations of tw...

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Bibliographic Details
Published in:The journal of high energy physics Vol. 2018; no. 2
Main Author: Giribet, Gaston
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 19.02.2018
Subjects:
Classical and Quantum Gravitation
Elementary Particles
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
AdS-CFT Correspondence
Conformal Field Models in String Theory
ISSN:1029-8479
Online Access:Get full text
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Summary:A bstract A solvable irrelevant deformation of AdS 3 /CFT 2 correspondence leading to a theory with Hagedorn spectrum at high energy has been recently proposed. It consists of a single trace deformation of the boundary theory, which is inspired by the recent work on solvable T T ¯ deformations of two-dimensional CFTs. Thought of as a worldsheet σ -model, the interpretation of the deformed theory from the bulk viewpoint is that of string theory on a background that interpolates between AdS 3 in the IR and a linear dilaton vacuum of little string theory in the UV. The insertion of the operator that realizes the deformation in the correlation functions produces a logarithmic divergence, leading to the renormalization of the primary operators, which thus acquire an anomalous dimension. We compute this anomalous dimension explicitly, and this provides us with a direct way of determining the spectrum of the theory. We discuss this and other features of the correlation functions in presence of the deformation.
ISSN:1029-8479
DOI:10.1007/JHEP02(2018)114