Abstract
In this article we probe the proposed holographic duality between Toverline{T} deformed two dimensional conformal field theory and the gravity theory of AdS3 with a Dirichlet cutoff by computing correlators of energy-momentum tensor. We focus on the large central charge sector of the Toverline{T} CFT in a Euclidean plane and a sphere, and compute the correlators of energy-momentum tensor using an operator identity promoted from the classical trace relation. The result agrees with a computation of classical pure gravity in Euclidean AdS3 with the corresponding cutoff surface, given a holographic dictionary which identifies gravity parameters with Toverline{T} CFT parameters.
Highlights
Torus, generalization to maximally symmetric spaces was considered in [13, 14]
We focus on the large central charge sector of the T T CFT in a Euclidean plane and a sphere, and compute the correlators of energy-momentum tensor using an operator identity promoted from the classical trace relation
The possible limitation of the Dirichlet cutoff picture was echoed in [37], which showed that in the large central charge limit the holographic dual of T T CFT2 in the Euclidean plane is in general AdS3 gravity with mixed boundary condition, and only for positive deformation parameter and for pure gravity the mixed boundary condition can be reinterpreted as Dirichlet boundary condition at a finite cutoff, taking the original form proposed by McGough et al
Summary
The T Tdeformation with the continuous deformation parameter μ is defined by a flow of action in the direction of T Toperator dS = It was shown in [5] that the composite T Toperator has an unambiguous and UV finite definition modulo derivative of local operators by limit of point splitting. For quantum field theory in the Euclidean plane with a conserved and symmetric energymomentum tensor. This point splitting definition can be generalized to maximally symmetric spaces by carrying over Zamolodchikov’s argument, but it was found that the factorization property of the expectation value. We have a very basic argument for theories with Lagrangian density L as an algebraic function of the metric.2 For these theories, the energy-momentum tensor takes the form.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
