Entanglement entropy in 
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-deformed CFT

Chen, Bin; Chen, Lin; Hao, Peng-Xiang

doi:10.1103/physrevd.98.086025

Cited by 77 publications

(77 citation statements)

References 61 publications

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“…Note that in the AdS case this corresponds to a rotation in the spacetime followed by a special conformal transformation which brings the interval to antipodal points on the circle with radius R cos(β), as was illustrated in figure 2. In the limit of having no Dirichlet cutoff at all, our holographic results confirm the field theory prediction of [41], stating that the first order corrections to the entanglement entropy vanish. In the second part of this paper, we derived the entanglement entropies for antipodal points for a d-dimensional field theory in context of DS/dS holography.…”

Section: Discussionsupporting

confidence: 79%

“…On the field theory side, this seems to be a notoriously hard question to ask. The authors of [41] were able to calculate the first order corrections for a field theory in 1 We consider only one of the two static patches in dS which means we are restricting r/L to [0, π/2]. 2 Throughout this paper, we shifted the radial coordinate r/L by π/2 compared to [49] for pedagogical reasons.…”

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confidence: 99%

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Entanglement entropy and $$ T\overline{T} $$ deformations beyond antipodal points from holography

Grieninger

2019

J. High Energ. Phys.

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We consider the entanglement entropies in dS d sliced (A)dS d+1 in the presence of a hard radial cutoff. By considering a one parameter family of analytic solutions, parametrized by their turning point in the bulk r , we are able to compute the entanglement entropy for generic intervals on the cutoff slice. It has been proposed that the field theory dual of this scenario is a strongly coupled CFT, deformed by a certain irrelevant deformation -the socalled TT deformation. Surprisingly, we find that we may write the entanglement entropies formally in the same way as the entanglement entropy for antipodal points on the sphere by introducing an effective radius R eff = R cos(β ), where R is the radius of the sphere and β related to the length of the interval. Geometrically, this is equivalent to following the TT trajectory until the generic interval corresponds to antipodal points on the sphere. Finally, we check our results by comparing the asymptotic behavior (no Dirichlet wall present) with the results of Casini, Huerta and Myers. In the second part of this work, we extend the field theory calculation of the entanglement entropy for antipodal points for a d-dimensional field theory in context of DS/dS holography.One remarkable development in the recent years has been a novel access to irrelevant (nonrenormalizable) deformations in two dimensional quantum field theories (QFTs). Unlike the usual irrelevant deformations, the so-called TT deformation [1-3] has the intriguing feature that it is -unlike the usual irrelevant deformations -exactly solvable. Starting from a generic seed QFT, we are able to define a trajectory from the IR to the UV in the field theory space triggered by deforming the QFT with a TT deformation in each step. Even through the theory flows towards the UV, we are still able to derive a lot of interesting quantities in exact form simply from possessing an understanding of undeformed theory. These quantities include the finite volume spectrum, the S-matrix and the deformed classical Lagrangian -all of which have been extensively discussed in the literature (see [38] for lecture notes).An interesting approach to TT deformations is the proposal of a holographic dual by McGough, Mezei, and Verlinde [4] in order to use the powerful toolkit provided by holographic dualities for studying problems in strongly coupled field theories. From a bulk perspective, deforming a field theory by an irrelevant deformation has drastic effects on the UV behavior. McGough, Mezei, and Verlinde conjectured to simply chop off the asymptotic region of the spacetime. In other words, deforming the conformal field theory (CFT) by the TT operator is dual to introducing a hard radial cutoff (Dirichlet wall) at a finite radial position r = r c in the bulk. The hard radial cutoff removes the UV region of the spacetime and the dual field theory which lives on the cutoff surface is no longer conformal. For Anti-de Sitter (AdS) this was more extensively studied in [11].One interesting aspect of quantum theories -especially with re...

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Section: Discussionsupporting

confidence: 79%

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confidence: 99%

Entanglement entropy and $$ T\overline{T} $$ deformations beyond antipodal points from holography

Grieninger

2019

J. High Energ. Phys.

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“…Recently many attentions have been paid to the deformations of two-dimensional quantum field theory by irrelevant operators constructed from bilinears of conserved currents [1], of which the so-called TT /JT -deformation [2,3] has been extensively investigated [4][5][6][7][8][9][10][11][12][13][14][15][16]. Although these deformations are irrelevant in the renormalization group sense, the deformed theory appears to be more predictive than the generic nonrenormalizable QFT.…”

Section: Introductionmentioning

confidence: 99%

Correlation functions, entanglement and chaos in the $$ T\overline{T}/J\overline{T} $$-deformed CFTs

Shu

2020

J. High Energ. Phys.

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In this paper, we regard the TT /JT -deformed CFTs as perturbation theories and compute the first order correction of the correlation functions due to the TT /JT -deformation. As applications, we study the Rényi entanglement entropy of excited state in the TT /JT -deformed two-dimensional CFTs. We find, up to the perturbation first order of the deformation, the Rényi entanglement entropy of locally excited state will obtain a nontrivial time dependence. The excess of the Rényi entanglement entropy of locally excited state will also be dramatically changed up to order O(c). Furthermore, we investigate the out of time ordered correlation function to confirm that the TT /JT -deformations do not change the maximal chaotic behavior of holographic CFTs up to the first order of the deformations.1 hesong@jlu.edu.cn 2

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“…In a similar way, the classical Hamiltonian and Lagrangian obey an ODE in the space of fields, which can be often solved in closed form [3,4]. Over the last three years, T T deformations of a number of integrable [3,5,6], as well as of more general [7][8][9][10] theories have been considered. 1 A particularly striking link emerged between string theory and T T deformations, fueled by the initial observation that the T T deformation of a theory of free bosons is related to strings in flat space [3], see also refs.…”

Section: Introductionmentioning

confidence: 99%

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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Entanglement entropy in TT¯ -deformed CFT

Cited by 77 publications

References 61 publications

Entanglement entropy and $$ T\overline{T} $$ deformations beyond antipodal points from holography

Entanglement entropy and $$ T\overline{T} $$ deformations beyond antipodal points from holography

Correlation functions, entanglement and chaos in the $$ T\overline{T}/J\overline{T} $$-deformed CFTs

TT¯ deformations as TsT transformations

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