The TT¯ $$ T\overline{T} $$ deformation at large central charge

Abstract We study Zamolodchikov’s TT¯ $$ T\overline{T} $$ deformation of two dimensional quantum field theories in a ’t Hooft-like limit, in which we scale the number of degrees of freedom c to infinity and the deformation parameter t to zero, keeping their product t · c fixed (more precisely, we ke...

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Bibliographic Details
Main Authors: Ofer Aharony, Talya Vaknin
Format: Article
Language:English
Published: SpringerOpen 2018-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP05(2018)166
Description
Summary:Abstract We study Zamolodchikov’s TT¯ $$ T\overline{T} $$ deformation of two dimensional quantum field theories in a ’t Hooft-like limit, in which we scale the number of degrees of freedom c to infinity and the deformation parameter t to zero, keeping their product t · c fixed (more precisely, we keep energies and distances fixed in units of t · c). In this limit the Hagedorn temperature remains fixed, but other non-local aspects of the theory disappear. We show that in this limit correlation functions may be computed exactly, and they are local in space and polynomials in t. We compute explicitly the deformed three-point functions of the energy-momentum tensor for a TT¯ $$ T\overline{T} $$-deformed conformal field theory.
ISSN:1029-8479