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Geometrizing $T\bar{T}$ · Around

2020

Geometrizing $T\bar{T}$

Caputa, Pawel, Datta, Shouvik, Jiang, Yunfeng et al.

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Understand

The $T\bar{T}$ deformation can be formulated as a dynamical change of coordinates.

We establish and generalize this relation to curved spaces by coupling the undeformed theory to 2d gravity.
For curved space the dynamical change of coordinates is supplemented by a dynamical Weyl transformation.
We also sharpen the holographic correspondence to cutoff AdS$_3$ in multiple ways.

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P. Caputa, S. Datta, and V. Shyam, Sphere partition functions & cut-off AdS
Original
1902
Earlier work this paper cites.
A. Giveon, Comments on T T ¯ T\bar{T} , J T ¯ J\bar{T} and String Theory
Original
1903
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Y. Jiang, Expectation value of T T ¯ \mathrm{T}\overline{\mathrm{T}} operator in curved spacetimes
Original
1903
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Y. Jiang, Lectures on solvable irrelevant deformations of 2d quantum field theory
Original
1904
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M. Guica and R. Monten, T T ¯ T\bar{T} and the mirage of a bulk cutoff
Original
1906
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E. A. Coleman, J. Aguilera-Damia, D. Z. Freedman, and R. M. Soni, T T ¯ T\overline{T} -deformed actions and (1,1) supersymmetry
Original
1906
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J. Cardy, T T ¯ T\bar{T} deformation of correlation functions
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1907
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A. J. Tolley, T T ¯ T\bar{T} Deformations, Massive Gravity and Non-Critical Strings
Original
1911
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L. Apolo, S. Detournay, and W. Song, TsT, T T ¯ T\bar{T} and black strings
Original
1911
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E. A. Mazenc, V. Shyam, and R. M. Soni, A T T ¯ T\bar{T} Deformation for Curved Spacetimes from 3d Gravity
Original
1912
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Y. Li and Y. Zhou, Cutoff AdS 3 \rm AdS_{3} versus T T ¯ \rm T\bar{T} CFT 2 \rm CFT_{2} in the large central charge sector: correlators of energy-momentum tensor

Then

A. Cavaglià, S. Negro, I. M. Szécsényi, and R. Tateo, T T ¯ T\bar{T} -deformed 2D Quantum Field Theories
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J. Cardy, The T T ¯ T\overline{T} deformation of quantum field theory as random geometry
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L. McGough, M. Mezei, and H. Verlinde, Moving the CFT into the bulk with T T ¯ T\overline{T}

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2018

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