Gravitational perturbations as <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi>T</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:math>-deformations in 2D dilaton gravity systems

Ishii, Takaaki; Okumura, Suguru; Sakamoto, Jun-ichi; Yoshida, Kentaroh

doi:10.1016/j.nuclphysb.2019.114901

Cited by 25 publications

(24 citation statements)

References 51 publications

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“…In particular, for AdS5×S 5 , we have described a "shifted" geometry which would yield a T T deformation of Beisert's S matrix, though it is not clear what interpretation this would have for the gauge-theory dual. 19 One could also study deformed AdS backgrounds in the T-dual frame, by means of a TsT transformation rather than a shift. As an illustration, for AdS 2 ×S 2 in global coordinates…”

Section: Discussionmentioning

confidence: 99%

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TT¯ deformations as TsT transformations

Sfondrini

Tongeren

2020

Phys. Rev. D

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The relationship between T T deformations and the uniform light-cone gauge, first noted in arXiv:1804.01998, provides a powerful generating technique for deformed models. We recall this construction, distinguishing between changes of the gauge frame, which do not affect the theory, and genuine deformations. We investigate the geometric interpretation of the latter and argue that they affect the global features of the geometry before gauge fixing. Exploiting a formal relation between uniform light-cone gauge and static gauge in a T-dual frame, we interpret such a change as a TsT transformation involving the two light-cone coordinates. In the static-gauge picture, the T T CDD factor then has a natural interpretation as a Drinfel'd-Reshetikhin twist of the worldsheet S matrix. To illustrate these ideas, we find the geometries yielding a T T deformation of the worldsheet S matrix of pp-wave and Lin-Lunin-Maldacena backgrounds. arXiv:1908.09299v2 [hep-th]

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Section: Discussionmentioning

confidence: 99%

“…Interesting applications to several classes of two-dimensional theories, such as supersymmetric theories[11][12][13][14][15], 2-d gravity[16][17][18][19] and AdS3/CFT2 holography[20][21][22][23][24][25][26][27][28][29], also emerged.…”

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confidence: 99%

TT¯ deformations as TsT transformations

Sfondrini

Tongeren

2020

Phys. Rev. D

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“…Given our construction, the X are totally antisymmetric in their σ indices, but might only be antisymmetric in their s indices up to P σ -commutators. 13 Alternatively we could have written the OPE in a basis of local operators that splits into the subspace spanned by…”

Section: A2 Collision Limitsmentioning

confidence: 99%

KdV charges in TTbar theories and new models with super-Hagedorn behavior

Floch

2019

SciPost Phys.

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Two-dimensional CFTs and integrable models have an infinite set of conserved KdV higher spin currents. These currents can be argued to remain conserved under the TT deformation and its generalizations. We determine the flow equations the KdV charges obey under the TT deformation: they behave as probes "riding the Burgers flow" of the energy eigenvalues. We also study a Lorentz-breaking T s+1T deformation built from a KdV current and the stress tensor, and find a super-Hagedorn growth of the density of states.

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“…For further study, computation of deformed energy spectrum would be desirable [27]. It would be interesting to study gravitational perturbations and perform a path integral analysis as in [16,22,[39][40][41].…”

Section: Jhep02(2021)224mentioning

confidence: 99%

Phase transition in JT gravity and $$ T\overline{T} $$ deformation

Kim

Baek

Seo

2021

J. High Energ. Phys.

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In this paper we study a black hole phase transition in a generalized JT gravity noticed in arXiv:2006.03494. We investigate the effect of the phase transition on the Euclidean geodesic and holographic two-point function in models with dilaton potential which interpolates two ordinary JT gravities with different cosmological constants. It is noted that there exists a closed geodesic with a new scale at low temperature phase when the potential has a locally negative region. This scale causes several peaks in the two-point function. We also comment on the phase transition of charged black holes. We then consider coupling generalized JT gravity to a matter and study its relation to a $$ T\overline{T} $$ T T ¯ deformation of CFT at the classical level. We find the deformation parameter as a function of the dilaton and provide examples showing Janus-type couplings.

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Gravitational perturbations as TT¯-deformations in 2D dilaton gravity systems

Cited by 25 publications

References 51 publications

TT¯ deformations as TsT transformations

TT¯ deformations as TsT transformations

KdV charges in TTbar theories and new models with super-Hagedorn behavior

Phase transition in JT gravity and $$ T\overline{T} $$ deformation

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