Nonlocal charges from marginal deformations of 2D CFTs: Holographic 
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Araujo, Thiago

doi:10.1103/physrevd.101.025008

Cited by 2 publications

(3 citation statements)

References 112 publications

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“…Various aspects of the JT /TJ deformations have been studied so far, including holography [7,8], path integral formulation [9,10], modular invariance [11], correlation functions [12], and their role in string theory [13,14]. See also [6,[15][16][17][18][19][20][21][22][23] for further results.…”

Section: Jhep05(2020)140mentioning

confidence: 99%

“…(B.4)We would first like to understand the behavior of O under improvement transformations 21. Suppose L, R are either commuting or anti-commuting22 LR = rRL , r = ±1 . (B.5)…”

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confidence: 99%

“…The flavor current multiplets satisfy similar improvement transformations which we have not analyzed in detail in our paper. For our scopes here, it will suffice to use the abstract description given in this appendix 22. It should be noted that (B.5) may not be satisfied, for example in the N = (0, 2) JT deformation.…”

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confidence: 99%

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Supersymmetric J $$ \overline{T} $$ and T $$ \overline{J} $$ deformations

Jiang

Tartaglino‐Mazzucchelli

2020

J. High Energ. Phys.

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We explore the JT and TJ deformations of two-dimensional field theories possessing N = (0, 1), (1, 1) and (0, 2) supersymmetry. Based on the stress-tensor and flavor current multiplets, we construct various bilinear supersymmetric primary operators that induce the JT /TJ deformation in a manifestly supersymmetric way. Moreover, their supersymmetric descendants are shown to agree with the conventional JT /TJ operator on-shell. We also present some examples of JT /TJ flows arising from the supersymmetric deformation of free theories. Finally, we observe that all the deformation operators fit into a general pattern which generalizes the Smirnov-Zamolodchikov type composite operators.

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Section: Jhep05(2020)140mentioning

confidence: 99%

“…(B.4)We would first like to understand the behavior of O under improvement transformations 21. Suppose L, R are either commuting or anti-commuting22 LR = rRL , r = ±1 . (B.5)…”

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confidence: 99%

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Supersymmetric J $$ \overline{T} $$ and T $$ \overline{J} $$ deformations

Jiang

Tartaglino‐Mazzucchelli

2020

J. High Energ. Phys.

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$$ T\overline{T} $$ deformations, massive gravity and non-critical strings

Tolley

2020

J. High Energ. Phys.

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The T T deformation of a 2 dimensional field theory living on a curved spacetime is equivalent to coupling the undeformed field theory to 2 dimensional 'ghost-free' massive gravity. We derive the equivalence classically, and using a path integral formulation of the random geometries proposal, which mirrors the holographic bulk cutoff picture. We emphasize the role of the massive gravity Stückelberg fields which describe the diffeomorphism between the two metrics. For a general field theory, the dynamics of the Stückelberg fields is non-trivial, however for a CFT it trivializes and becomes equivalent to an additional pair of target space dimensions with associated curved target space geometry and dynamical worldsheet metric. That is, the T T deformation of a CFT on curved spacetime is equivalent to a non-critical string theory in Polyakov form, with a non-zero B-field. We give a direct proof of the equivalence classically without relying on gauge fixing, and determine the explicit form for the classical Hamiltonian of the T T deformation of an arbitrary CFT on a curved spacetime. When the QFT action is a sum of a CFT plus an operator of fixed scaling dimension, as for example in the sine-Gordon model, the equivalence to a non-critical theory string holds with a modified target space metric and modified B-field. Finally we give a stochastic path integral formulation for the general T T + J T + T J deformation of a general QFT, and show that it reproduces a recent path integral proposal in the literature.

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Nonlocal charges from marginal deformations of 2D CFTs: Holographic TT¯ & TJ¯<

Cited by 2 publications

References 112 publications

Supersymmetric J $$ \overline{T} $$ and T $$ \overline{J} $$ deformations

Supersymmetric J $$ \overline{T} $$ and T $$ \overline{J} $$ deformations

$$ T\overline{T} $$ deformations, massive gravity and non-critical strings

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