arXiv:2410.06363

Entanglement, $\textrm{T}\bar{\textrm{T}}$ and rotating black holes

Debarshi Basu, Biswas, Saikat

Published Oct 8, 2024• 0 citations

Abstract

In this work, we investigate the entanglement structure in a $\textrm{T}\bar{\textrm{T}}$-deformed holographic CFT$_2$ with a conserved angular momentum. We utilize conformal perturbation theory to compute the leading order correction to the entanglement entropy and the reflected entropy due to the $\textrm{T}\bar{\textrm{T}}$ deformation in the limit of large central charge. In the dual bulk perspective described by a rotating BTZ black hole with a finite radial cut-off, we compute the holographic entanglement entropy and the entanglement wedge cross-section and observe perfect agreement with our field theoretic computation for small values of the deformation parameter.

DOI: 10.48550/arxiv.2410.06363

Related papers

Entanglement, $$\text{T}\overline{\text{T} }$$ and rotating black holes

Debarshi Basu, Saikat Biswas

A bstract In this work, we investigate the entanglement structure in a $$\text{T}\overline{\text{T} }$$ -deformed holographic CFT 2 with a conserved angular momentum. We utilize conformal perturbation theory to compute the leading order correction to the entanglement entropy and the reflected entropy due to the $$\text{T}\overline{\text{T} }$$ deformation in the limit of large central charge. In the dual bulk perspective described by a rotating BTZ black hole with a finite radial cut-off, we compute the holographic entanglement entropy and the entanglement wedge cross-section and observe perfect agreement with our field theoretic computation for small values of the deformation parameter.

Journal of High Energy PhysicsMar 21, 20259 citations

Odd entanglement entropy in TT¯ deformed CFT2s and holography

Debarshi Basu, Saikat Biswas, Ankur Dey +2 more

arXiv:2307.04832Physical review. D/Physical review. D.Dec 15, 20238 citations

Reflected entropy and timelike entanglement in $\textrm{T}\bar{\textrm{T}}$ deformed CFT$_2$s

Debarshi Basu, Vinayak Raj

arXiv:2402.07253Feb 11, 20240 citations

Entanglement entropy in TT¯ -deformed CFT

Bin Chen, Lin Chen, Peng-Xiang Hao

arXiv:1807.08293Physical review. D/Physical review. D.Oct 29, 201896 citations

Entanglement entropy of extremal BTZ black holes

Paweł Caputa, Vishnu Jejjala, Hesam Soltanpanahi

arXiv:1309.7852Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsFeb 19, 201432 citations

Entanglement negativity in T T ¯ -deformed CFT 2 s

Debarshi Basu, Lavish Chawla, Boudhayan Paul

arXiv:2302.11435Physical review. D/Physical review. D.Jun 30, 202314 citations

arXiv:2410.06363

Entanglement, $\textrm{T}\bar{\textrm{T}}$ and rotating black holesEntanglement, $\textrm{T}\bar{\textrm{T}}$ and rotating black holes

Debarshi Basu, Biswas, Saikat

Published Oct 8, 2024• 0 citations

arXiv HTML PDF

Abstract

In this work, we investigate the entanglement structure in a

\textrm{T}\bar{\textrm{T}}

-deformed holographic CFT

_2

with a conserved angular momentum. We utilize conformal perturbation theory to compute the leading order correction to the entanglement entropy and the reflected entropy due to the

\textrm{T}\bar{\textrm{T}}

deformation in the limit of large central charge. In the dual bulk perspective described by a rotating BTZ black hole with a finite radial cut-off, we compute the holographic entanglement entropy and the entanglement wedge cross-section and observe perfect agreement with our field theoretic computation for small values of the deformation parameter.

DOI: 10.48550/arxiv.2410.06363

Related papers

Entanglement, $\text{T}\overline{\text{T} }$ and rotating black holesEntanglement, $$\text{T}\overline{\text{T} }$$ and rotating black holes

Debarshi Basu, Saikat Biswas

A bstract In this work, we investigate the entanglement structure in a $\text{T}\overline{\text{T} }$ -deformed holographic CFT 2 with a conserved angular momentum. We utilize conformal perturbation theory to compute the leading order correction to the entanglement entropy and the reflected entropy due to the $\text{T}\overline{\text{T} }$ deformation in the limit of large central charge. In the dual bulk perspective described by a rotating BTZ black hole with a finite radial cut-off, we compute the holographic entanglement entropy and the entanglement wedge cross-section and observe perfect agreement with our field theoretic computation for small values of the deformation parameter.A bstract In this work, we investigate the entanglement structure in a $$\text{T}\overline{\text{T} }$$ -deformed holographic CFT 2 with a conserved angular momentum. We utilize conformal perturbation theory to compute the leading order correction to the entanglement entropy and the reflected entropy due to the $$\text{T}\overline{\text{T} }$$ deformation in the limit of large central charge. In the dual bulk perspective described by a rotating BTZ black hole with a finite radial cut-off, we compute the holographic entanglement entropy and the entanglement wedge cross-section and observe perfect agreement with our field theoretic computation for small values of the deformation parameter.

Journal of High Energy PhysicsMar 21, 20259 citations

Odd entanglement entropy in TT¯ deformed CFT2s and holography

Debarshi Basu, Saikat Biswas, Ankur Dey +2 more

We construct a replica technique to perturbatively compute the odd entanglement entropy (OEE) for bipartite mixed states in $\mathrm{T}\overline{\mathrm{T}}$ deformed ${\mathrm{CFT}}_{2}\mathrm{s}$ . This framework is then utilized to obtain the leading-order correction to the OEE for two disjoint intervals, two adjacent intervals, and a single interval in $\mathrm{T}\overline{\mathrm{T}}$ deformed thermal ${\mathrm{CFT}}_{2}\mathrm{s}$ in the large central charge limit. The field theory results are subsequently reproduced in the high-temperature limit from holographic computations for the entanglement wedge cross sections in the dual bulk finite cutoff Ba\~nados-Teitelboim-Zanelli geometries. We further show that for finite size $\mathrm{T}\overline{\mathrm{T}}$ deformed ${\mathrm{CFT}}_{2}\mathrm{s}$ at zero temperature the corrections to the OEE are vanishing to the leading order from both field theory and bulk holographic computations.We construct a replica technique to perturbatively compute the odd entanglement entropy (OEE) for bipartite mixed states in $\mathrm{T}\overline{\mathrm{T}}$ deformed ${\mathrm{CFT}}_{2}\mathrm{s}$. This framework is then utilized to obtain the leading-order correction to the OEE for two disjoint intervals, two adjacent intervals, and a single interval in $\mathrm{T}\overline{\mathrm{T}}$ deformed thermal ${\mathrm{CFT}}_{2}\mathrm{s}$ in the large central charge limit. The field theory results are subsequently reproduced in the high-temperature limit from holographic computations for the entanglement wedge cross sections in the dual bulk finite cutoff Ba\~nados-Teitelboim-Zanelli geometries. We further show that for finite size $\mathrm{T}\overline{\mathrm{T}}$ deformed ${\mathrm{CFT}}_{2}\mathrm{s}$ at zero temperature the corrections to the OEE are vanishing to the leading order from both field theory and bulk holographic computations.

arXiv:2307.04832Physical review. D/Physical review. D.Dec 15, 20238 citations

Reflected entropy and timelike entanglement in $\textrm{T}\bar{\textrm{T}}$ deformed CFT $_2$ sReflected entropy and timelike entanglement in $\textrm{T}\bar{\textrm{T}}$ deformed CFT$_2$s

Debarshi Basu, Vinayak Raj

We develop a covariant formalism to investigate the mixed state entanglement structure of time-dependent boosted subsystems in $\textrm{T}\bar{\textrm{T}}$ deformed CFT $_2$ s through the reflected entropy. To this end we utilize the conformal perturbation theory to obtain the Rényi reflected entropy through the partition function on replica manifold. The correction to the reflected entropy to the first order in the deformation parameter $μ$ in then obtained in the replica limit for finite temperature and finite sized systems. We verify our field theoretic computations by obtaining the dual EWCS in the corresponding bulk cut-off AdS $_3$ geometries and find perfect agreement between the two.We develop a covariant formalism to investigate the mixed state entanglement structure of time-dependent boosted subsystems in $\textrm{T}\bar{\textrm{T}}$ deformed CFT$_2$s through the reflected entropy. To this end we utilize the conformal perturbation theory to obtain the Rényi reflected entropy through the partition function on replica manifold. The correction to the reflected entropy to the first order in the deformation parameter $μ$ in then obtained in the replica limit for finite temperature and finite sized systems. We verify our field theoretic computations by obtaining the dual EWCS in the corresponding bulk cut-off AdS$_3$ geometries and find perfect agreement between the two.

arXiv:2402.07253Feb 11, 20240 citations

Entanglement entropy in TT¯ -deformed CFT

Bin Chen, Lin Chen, Peng-Xiang Hao

In this paper, we study the entanglement entropy of a single interval on a cylinder in two-dimensional $T\overline{T}$ -deformed conformal field theory (CFT). For such case, the (R\'enyi) entanglement entropy takes a universal form in a CFT. We compute the correction due to the deformation up to the leading order of the deformation parameter in the framework of the conformal perturbation theory. We find that the correction to the entanglement entropy is nonvanishing in the finite temperature case, while it is vanishing in the finite size case. For the deformed holographic large $c$ CFT, which is proposed to be dual to a ${\mathrm{AdS}}_{3}$ gravity in a finite region, we find the agreement with the holographic entanglement entropy via the Ryu-Takayanagi formula. Moreover, we compute the leading order correction to the R\'enyi entropy, and discuss its holographic picture as well.In this paper, we study the entanglement entropy of a single interval on a cylinder in two-dimensional $T\overline{T}$-deformed conformal field theory (CFT). For such case, the (R\'enyi) entanglement entropy takes a universal form in a CFT. We compute the correction due to the deformation up to the leading order of the deformation parameter in the framework of the conformal perturbation theory. We find that the correction to the entanglement entropy is nonvanishing in the finite temperature case, while it is vanishing in the finite size case. For the deformed holographic large $c$ CFT, which is proposed to be dual to a ${\mathrm{AdS}}_{3}$ gravity in a finite region, we find the agreement with the holographic entanglement entropy via the Ryu-Takayanagi formula. Moreover, we compute the leading order correction to the R\'enyi entropy, and discuss its holographic picture as well.

arXiv:1807.08293Physical review. D/Physical review. D.Oct 29, 201896 citations

Entanglement entropy of extremal BTZ black holes

Paweł Caputa, Vishnu Jejjala, Hesam Soltanpanahi

In this paper, we use entanglement entropy as a tool to explore the universal properties of conformal field theories (CFTs) dual to extremal BTZ black holes. We demonstrate that the entanglement entropies computed in the CFTs at the boundary of the extremal BTZ and the boundary of the near-horizon limit of the extremal BTZ are in perfect agreement and have the form appropriate to a two-dimensional CFT with only the chiral part excited and the antichiral in the ground state. Furthermore, we analyze the universal limits of the entanglement entropy and recover the correct value of the thermal entropy for large entangling intervals and the first-law-like relation for the small interval.In this paper, we use entanglement entropy as a tool to explore the universal properties of conformal field theories (CFTs) dual to extremal BTZ black holes. We demonstrate that the entanglement entropies computed in the CFTs at the boundary of the extremal BTZ and the boundary of the near-horizon limit of the extremal BTZ are in perfect agreement and have the form appropriate to a two-dimensional CFT with only the chiral part excited and the antichiral in the ground state. Furthermore, we analyze the universal limits of the entanglement entropy and recover the correct value of the thermal entropy for large entangling intervals and the first-law-like relation for the small interval.

arXiv:1309.7852Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsFeb 19, 201432 citations

Entanglement negativity in T T ¯ -deformed CFT 2 s

Debarshi Basu, Lavish Chawla, Boudhayan Paul

We apply a suitable replica technique to develop a perturbative expression for the entanglement negativity of bipartite mixed states in $\mathrm{T}\overline{\mathrm{T}}$ -deformed ${\mathrm{CFT}}_{2}\mathrm{s}$ up to the first order in the deformation parameter. Utilizing our perturbative construction we compute the entanglement negativity for various bipartite mixed states involving two disjoint intervals, two adjacent intervals, and a single interval in a $\mathrm{T}\overline{\mathrm{T}}$ -deformed ${\mathrm{CFT}}_{2}$ at a finite temperature, in the large central-charge limit. Subsequently, we advance appropriate holographic constructions to compute the entanglement negativity for such bipartite states in $\mathrm{T}\overline{\mathrm{T}}$ -deformed thermal ${\mathrm{CFT}}_{2}\mathrm{s}$ dual to BTZ black holes in a finite cutoff bulk geometry and find agreement with the corresponding field theoretic results in the limit of small deformation parameter.We apply a suitable replica technique to develop a perturbative expression for the entanglement negativity of bipartite mixed states in $\mathrm{T}\overline{\mathrm{T}}$-deformed ${\mathrm{CFT}}_{2}\mathrm{s}$ up to the first order in the deformation parameter. Utilizing our perturbative construction we compute the entanglement negativity for various bipartite mixed states involving two disjoint intervals, two adjacent intervals, and a single interval in a $\mathrm{T}\overline{\mathrm{T}}$-deformed ${\mathrm{CFT}}_{2}$ at a finite temperature, in the large central-charge limit. Subsequently, we advance appropriate holographic constructions to compute the entanglement negativity for such bipartite states in $\mathrm{T}\overline{\mathrm{T}}$-deformed thermal ${\mathrm{CFT}}_{2}\mathrm{s}$ dual to BTZ black holes in a finite cutoff bulk geometry and find agreement with the corresponding field theoretic results in the limit of small deformation parameter.

arXiv:2302.11435Physical review. D/Physical review. D.Jun 30, 202314 citations

Entanglement,

\textrm{T}\bar{\textrm{T}}

and rotating black holes

In this work, we investigate the entanglement structure in a

\textrm{T}\bar{\textrm{T}}

-deformed holographic CFT

_2

with a conserved angular momentum. We utilize conformal perturbation theory to compute the leading order correction to the entanglement entropy and the reflected entropy due to the

\textrm{T}\bar{\textrm{T}}

Entanglement,

\text{T}\overline{\text{T} }

and rotating black holes

A bstract In this work, we investigate the entanglement structure in a

\text{T}\overline{\text{T} }

-deformed holographic CFT 2 with a conserved angular momentum. We utilize conformal perturbation theory to compute the leading order correction to the entanglement entropy and the reflected entropy due to the

\text{T}\overline{\text{T} }

We construct a replica technique to perturbatively compute the odd entanglement entropy (OEE) for bipartite mixed states in

\mathrm{T}\overline{\mathrm{T}}

deformed

{\mathrm{CFT}}_{2}\mathrm{s}

. This framework is then utilized to obtain the leading-order correction to the OEE for two disjoint intervals, two adjacent intervals, and a single interval in

\mathrm{T}\overline{\mathrm{T}}

deformed thermal

{\mathrm{CFT}}_{2}\mathrm{s}

in the large central charge limit. The field theory results are subsequently reproduced in the high-temperature limit from holographic computations for the entanglement wedge cross sections in the dual bulk finite cutoff Ba\~nados-Teitelboim-Zanelli geometries. We further show that for finite size

\mathrm{T}\overline{\mathrm{T}}

deformed

{\mathrm{CFT}}_{2}\mathrm{s}

at zero temperature the corrections to the OEE are vanishing to the leading order from both field theory and bulk holographic computations.

Reflected entropy and timelike entanglement in

\textrm{T}\bar{\textrm{T}}

deformed CFT

_2

We develop a covariant formalism to investigate the mixed state entanglement structure of time-dependent boosted subsystems in

\textrm{T}\bar{\textrm{T}}

deformed CFT

_2

s through the reflected entropy. To this end we utilize the conformal perturbation theory to obtain the Rényi reflected entropy through the partition function on replica manifold. The correction to the reflected entropy to the first order in the deformation parameter

μ

in then obtained in the replica limit for finite temperature and finite sized systems. We verify our field theoretic computations by obtaining the dual EWCS in the corresponding bulk cut-off AdS

_3

geometries and find perfect agreement between the two.

In this paper, we study the entanglement entropy of a single interval on a cylinder in two-dimensional

T\overline{T}

-deformed conformal field theory (CFT). For such case, the (R\'enyi) entanglement entropy takes a universal form in a CFT. We compute the correction due to the deformation up to the leading order of the deformation parameter in the framework of the conformal perturbation theory. We find that the correction to the entanglement entropy is nonvanishing in the finite temperature case, while it is vanishing in the finite size case. For the deformed holographic large

c

CFT, which is proposed to be dual to a

{\mathrm{AdS}}_{3}

gravity in a finite region, we find the agreement with the holographic entanglement entropy via the Ryu-Takayanagi formula. Moreover, we compute the leading order correction to the R\'enyi entropy, and discuss its holographic picture as well.

We apply a suitable replica technique to develop a perturbative expression for the entanglement negativity of bipartite mixed states in

\mathrm{T}\overline{\mathrm{T}}

-deformed

{\mathrm{CFT}}_{2}\mathrm{s}

up to the first order in the deformation parameter. Utilizing our perturbative construction we compute the entanglement negativity for various bipartite mixed states involving two disjoint intervals, two adjacent intervals, and a single interval in a

\mathrm{T}\overline{\mathrm{T}}

-deformed

{\mathrm{CFT}}_{2}

at a finite temperature, in the large central-charge limit. Subsequently, we advance appropriate holographic constructions to compute the entanglement negativity for such bipartite states in

\mathrm{T}\overline{\mathrm{T}}

-deformed thermal

{\mathrm{CFT}}_{2}\mathrm{s}

dual to BTZ black holes in a finite cutoff bulk geometry and find agreement with the corresponding field theoretic results in the limit of small deformation parameter.