Finite cutoff AdS5 holography and the generalized gradient flow

Shyam, Vasudev

doi:10.1007/jhep12(2018)086

Cited by 26 publications

(19 citation statements)

References 39 publications

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“…The holographic proposal has been subjected to various checks including correlation functions of local operators [10], propagation speeds and matching of appropriately defined quasilocal energy in the bulk to the ground state of the boundary field theory on a cylinder [1]. Higher dimensional generalizations of this operator were studied in [11][12][13] and in particular, the sphere partition function at large c in dimensions up to 6 was computed in [14] and the entanglement entropy of the Hartle Hawking state were extracted from these results in [15,16].…”

Section: Jhep05(2020)006mentioning

confidence: 99%

Quantum corrections to finite radius holography and holographic entanglement entropy

Donnelly

LePage

et al. 2020

J high energy phys

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We calculate quantum corrections to holographic entanglement entropy in the proposed duality between TT-deformed holographic 2D CFTs and gravity in AdS 3 with a finite cutoff. We first establish the dictionary between the two theories by mapping the flow equation of the deformed CFT to the bulk Wheeler-DeWitt equation. The latter reduces to an ordinary differential equation for the sphere partition function, which we solve to find the entanglement entropy for an entangling surface consisting of two antipodal points on a sphere. The entanglement entropy in the inverse central charge expansion yields the expectation value of the bulk length operator plus the entropy of length fluctuations, in accordance with the Ryu-Takayanagi formula and its generalization due to Faulkner, Lewkowycz, and Maldacena. Special attention is paid to the conformal mode problem and its resolution by a choice of contour for the gravitational path integral.

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Section: Jhep05(2020)006mentioning

confidence: 99%

Quantum corrections to finite radius holography and holographic entanglement entropy

Donnelly

LePage

et al. 2020

J high energy phys

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“…As the check of this proposal, various aspects, such as the energy spectrum and the propagation speed, agree on both sides [44]. Some recent progresses about the holographic aspect of the deformations have been done in [45][46][47][48][49][50][51][52][53][54].…”

Section: Introductionmentioning

confidence: 98%

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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“…Much interesting progress has been made along this direction, such as holographic entanglement entropy, holographic complexity, etc. [8,15,20,[41][42][43][44][45][46][47][48][49][50][51][52][53].…”

Section: Introductionmentioning

confidence: 99%

Correlation functions of CFTs on a torus with a TT¯ deformation

Sun

2020

Phys. Rev. D

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In this paper, we investigate the correlation functions of the conformal field theory (CFT) with the TT deformation on a torus in terms of the perturbative CFT approach, which is the extension of the previous investigations on correlation functions defined on a plane. We systematically obtain the first-order correction to the correlation functions of the CFTs with a TT deformation in both operator formalism and path integral language. As a consistency check, we compute the deformed partition function, namely, the zero-point correlation function, up to the first order, which is consistent with results in the literature. Moreover, we obtain a new recursion relation for correlation functions with multiple T's andT's inserted in generic CFTs on a torus. Based on the recursion relations, we study some correlation functions of stress tensors up to the first order under TT deformation.

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Finite cutoff AdS5 holography and the generalized gradient flow

Cited by 26 publications

References 39 publications

Quantum corrections to finite radius holography and holographic entanglement entropy

Quantum corrections to finite radius holography and holographic entanglement entropy

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

Correlation functions of CFTs on a torus with a TT¯ deformation

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