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 deformed entanglement entropy in 
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Chen, Deyou; Jiang, Xin; Yang, Haitang

doi:10.1103/physrevd.109.026011

Phys. Rev. D

2024

DOI: 10.1103/physrevd.109.026011

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Holographic TT¯ deformed entanglement entropy in dS3<

Deyou Chen,

Xin Jiang,

Haitang Yang

Abstract: In this paper, based on the TT¯ deformed version of dS3/CFT2 correspondence, we calculate the pseudoentropy for an entangling surface consisting of two antipodal points on a sphere and find it is exactly dual to the complex geodesic in the bulk. Published by the American Physical Society 2024

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Cited by 4 publications

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Temporal entanglement entropy as a probe of renormalization group flow

Grieninger,

Ikeda,

Kharzeev

2024

J. High Energ. Phys.

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The recently introduced concept of timelike entanglement entropy has sparked a lot of interest. Unlike the traditional spacelike entanglement entropy, timelike entanglement entropy involves tracing over a timelike subsystem. In this work, we propose an extension of timelike entanglement entropy to Euclidean space (“temporal entanglement entropy”), and relate it to the renormalization group (RG) flow. Specifically, we show that tracing over a period of Euclidean time corresponds to coarse-graining the system and can be connected to momentum space entanglement. We employ Holography, a framework naturally embedding RG flow, to illustrate our proposal. Within cutoff holography, we establish a direct link between the UV cutoff and the smallest resolvable time interval within the effective theory through the irrelevant $$T\overline{T }$$ deformation. Increasing the UV cutoff results in an enhanced capability to resolve finer time intervals, while reducing it has the opposite effect. Moreover, we show that tracing over a larger Euclidean time interval is formally equivalent to integrating out more UV degrees of freedom (or lowering the temperature). As an application, we point out that the temporal entanglement entropy can detect the critical Lifshitz exponent z in non-relativistic theories which is not accessible from spatial entanglement at zero temperature and density.

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Temporal entanglement entropy as a probe of renormalization group flow

Grieninger,

Ikeda,

Kharzeev

2024

J. High Energ. Phys.

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One-loop partition functions in $$T\overline{T }$$-deformed AdS3

2024

J. High Energ. Phys.

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We study the geometry of $$T\overline{T }$$-deformed BTZ black hole and find it can be regarded as a quotient of hyperbolic space. We then consider the massive scalar field propagating in the $$T\overline{T }$$-deformed BTZ black hole background. The one-loop partition function of scalar field is calculated using the heat kernel method and the Wilson spool proposal. These two methods give consistent result which implies the Wilson spool proposal still holds under $$T\overline{T }$$ deformation. Moreover, we also calculate the one-loop partition function of graviton in $$T\overline{T }$$-deformed BTZ black hole. We find the deformed one-loop partition functions are modified in a simple way, which corresponds to a replacement of the modular parameter. The result precisely matches the large c expansion of $$T\overline{T }$$-deformed CFT partition function. These results provide a further check about the correspondence between $$T\overline{T }$$-deformed CFT2 and AdS3 with mixed boundary condition.

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Modular transformations of on-shell actions of (root-)TT‾ deformed holographic CFTs

Tian,

Lai,

Omidi

2024

Nuclear Physics B

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Holographic TT¯ deformed entanglement entropy in dS3<

Cited by 4 publications

References 62 publications

Temporal entanglement entropy as a probe of renormalization group flow

Temporal entanglement entropy as a probe of renormalization group flow

One-loop partition functions in $$T\overline{T }$$-deformed AdS3

Modular transformations of on-shell actions of (root-)TT‾ deformed holographic CFTs

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