Fetching the paper…

Reading the bibliography…

2022

CFT correlators from shape deformations in Cubic Curvature Gravity

Anastasiou, Giorgos, Araya, Ignacio J., Argandoña, Andrés et al.

Original
PDF
Post on X

Understand

We find a covariant expression for the universal part of the holographic entanglement entropy which is valid for CFTs dual to generic higher curvature gravities in up to five bulk dimensions.

We use this functional to compute universal coefficients of stress-tensor correlators in three-dimensional CFTs dual to Cubic Curvature Gravity.
Using gauge/gravity duality, we work out an expression for the entanglement entropy of deformed entangling regions and read the coefficients from the power expansion of the entropy in the deformation parameter.
In particular, we obtain the $t_4$ coefficient of the 3-point function and exhibit a difference between the results obtained using the entanglement entropy functional for minimal and non-minimal splittings.

CFT correlators from shape deformations in Cubic Curvature Gravity · Around

Built on

Y.-Z. Li, Holographic Studies of The Generic Massless Cubic Gravities , Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
G. Anastasiou, I. J. Araya, A. Guijosa and R. Olea, Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs , JHEP 10
Original
1908
Earlier work this paper cites.
L. Onsager, Crystal statistics. i. a two-dimensional model with an order-disorder transition , Phys. Rev. 65
1944
Earlier work this paper cites.
A. M. Polyakov, Conformal symmetry of critical fluctuations , JETP Lett. 12
1970
Earlier work this paper cites.
Clarendon Press, Oxford, 1971
H. E. Stanley, Introduction to Phase transitions and critical phenomena , vol. 7 · 1971
Earlier work this paper cites.
G. W. Gibbons and S. W. Hawking, Action Integrals and Partition Functions in Quantum Gravity , Phys. Rev. D15
1977
Earlier work this paper cites.
Société mathématique de France, 1985
C. Fefferman and C. R. Graham, Conformal invariants , in Élie Cartan et les mathématiques d’aujourd’hui - Lyon, 25-29 juin 1984 , no. S131 in Astérisque, pp. 95–116 · 1985
Earlier work this paper cites.
A. B. Zamolodchikov, Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory , JETP Lett. 43
1986
Earlier work this paper cites.
J. Polchinski, Scale and Conformal Invariance in Quantum Field Theory , Nucl. Phys. B 303
1988
Earlier work this paper cites.
R. M. Wald, Black hole entropy is the Noether charge , Phys. Rev. D48
1993
Earlier work this paper cites.
T. Jacobson and R. C. Myers, Black hole entropy and higher curvature interactions , Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
H. Osborn and A. C. Petkou, Implications of conformal invariance in field theories for general dimensions , Annals Phys. 231
1994
Earlier work this paper cites.
C. Holzhey, F. Larsen and F. Wilczek, Geometric and renormalized entropy in conformal field theory , Nucl. Phys. B 424
1994
Earlier work this paper cites.
T. Jacobson, G. Kang and R. C. Myers, On black hole entropy , Phys. Rev. D49
1994
Earlier work this paper cites.
J. Erdmenger and H. Osborn, Conserved currents and the energy momentum tensor in conformally invariant theories for general dimensions , Nucl. Phys. B 483
1997
Earlier work this paper cites.
J. M. Maldacena, The large N limit of superconformal field theories and supergravity , Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Gauge theory correlators from noncritical string theory , Phys. Lett. B428
1998
Earlier work this paper cites.
E. Witten, Anti-de Sitter space and holography , Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
M. Henningson and K. Skenderis, The Holographic Weyl anomaly , JHEP 07
1998
Earlier work this paper cites.
M. Henningson and K. Skenderis, Holography and the Weyl anomaly , Fortsch. Phys. 48
2000
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, On the conformal anomaly from higher derivative gravity in AdS / CFT correspondence , Int. J. Mod. Phys. A 15
2000
Earlier work this paper cites.
C. Imbimbo, A. Schwimmer, S. Theisen and S. Yankielowicz, Diffeomorphisms and holographic anomalies , Class. Quant. Grav. 17
2000
Earlier work this paper cites.
C. Graham, Volume and area renormalizations for conformally compact Einstein metrics , Rend. Circ. Mat. Palermo S 63
2000
Earlier work this paper cites.
G. Giribet, O. Miskovic, R. Olea and D. Rivera-Betancour, Topological invariants and the definition of energy in quadratic gravity theory , Phys. Rev. D 101
Original
2001
Earlier work this paper cites.
P. Bueno, P. A. Cano, R. A. Hennigar, V. A. Penas and A. Ruipérez, Partition functions on slightly squashed spheres and flux parameters , JHEP 04
Original
2001
Earlier work this paper cites.
G. Anastasiou, O. Miskovic, R. Olea and I. Papadimitriou, Counterterms, Kounterterms, and the variational problem in AdS gravity , JHEP 08
Original
2003
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, Entanglement entropy and quantum field theory , J. Stat. Mech. 0406
2004
Earlier work this paper cites.

Similar

M. Taylor and L. Too, Renormalized entanglement entropy and curvature invariants , JHEP 12
Original
2004
Cited alongside, same era.
R. Olea, Mass, angular momentum and thermodynamics in four-dimensional Kerr-AdS black holes , JHEP 06
2005
Cited alongside, same era.
A. Kitaev and J. Preskill, Topological entanglement entropy , Phys. Rev. Lett. 96
2006
Cited alongside, same era.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT , Phys. Rev. Lett. 96
2006
Cited alongside, same era.
R. Olea, Regularization of odd-dimensional AdS gravity: Kounterterms , JHEP 04
2007
Cited alongside, same era.
G. Kofinas and R. Olea, Universal regularization prescription for Lovelock AdS gravity , JHEP 0711

Then

J. Camps, Generalized entropy and higher derivative Gravity , JHEP 03
Original
2014
Later among the works it cites.
A. Bhattacharyya and M. Sharma, On entanglement entropy functionals in higher derivative gravity theories , JHEP 10
Original
2014
Later among the works it cites.
K. Sen and A. Sinha, Holographic stress tensor at finite coupling , JHEP 07
Original
2014
Later among the works it cites.
R.-X. Miao and W.-z. Guo, Holographic Entanglement Entropy for the Most General Higher Derivative Gravity , JHEP 08
Original
2015
Later among the works it cites.
J. Camps and W. R. Kelly, Generalized gravitational entropy without replica symmetry , JHEP 03
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2007

Cited alongside, same era.

D. M. Hofman and J. Maldacena, Conformal collider physics: Energy and charge correlations , JHEP 05

2008

Cited alongside, same era.

I. R. Klebanov, D. Kutasov and A. Murugan, Entanglement as a probe of confinement , Nucl. Phys. B 796

2008

Cited alongside, same era.

G. Kofinas and R. Olea, Universal Kounterterms in Lovelock AdS gravity , Fortsch. Phys. 56

2008

Cited alongside, same era.

A. Schwimmer and S. Theisen, Entanglement Entropy, Trace Anomalies and Holography , Nucl. Phys. B 801

2008

Cited alongside, same era.

E. Cáceres, R. Castillo Vásquez and A. Vilar López, Entanglement entropy in cubic gravitational theories , JHEP 05

2009

Cited alongside, same era.

Y. Nakayama, Scale invariance vs conformal invariance from holography , Int. J. Mod. Phys. A 25

2010

Cited alongside, same era.

2015

Later among the works it cites.

R.-X. Miao, Universal Terms of Entanglement Entropy for 6d CFTs , JHEP 10

2015

Later among the works it cites.

M. Mezei, Entanglement entropy across a deformed sphere , Phys. Rev. D 91

2015

Later among the works it cites.

A. Allais and M. Mezei, Some results on the shape dependence of entanglement and Rényi entropies , Phys. Rev. D 91

2015

Later among the works it cites.

P. Fonda, D. Seminara and E. Tonni, On shape dependence of holographic entanglement entropy in AdS 4

2015

Later among the works it cites.

D. Carmi, On the Shape Dependence of Entanglement Entropy , JHEP 12

2015

Later among the works it cites.

J. Camps, Gravity duals of boundary cones , JHEP 09

2016

Later among the works it cites.

M. Taylor and W. Woodhead, Renormalized entanglement entropy , JHEP 08

2016

Later among the works it cites.

C.-S. Chu and R.-X. Miao, Universality in the shape dependence of holographic Rényi entropy for general higher derivative gravity , JHEP 12

2016

Later among the works it cites.

X. Dong, Shape Dependence of Holographic Rényi Entropy in Conformal Field Theories , Phys. Rev. Lett. 116

2016

Later among the works it cites.

L. Bianchi, S. Chapman, X. Dong, D. A. Galante, M. Meineri and R. C. Myers, Shape dependence of holographic Rényi entropy in general dimensions , JHEP 11

2016

Later among the works it cites.

T. Faulkner, R. G. Leigh and O. Parrikar, Shape Dependence of Entanglement Entropy in Conformal Field Theories , JHEP 04

2016

Later among the works it cites.

P. Bueno and W. Witczak-Krempa, Bounds on corner entanglement in quantum critical states , Phys. Rev. B 93

2016

Later among the works it cites.

P. Bueno, P. A. Cano, V. S. Min and M. R. Visser, Aspects of general higher-order gravities , Phys. Rev. D95

2017

Later among the works it cites.

G. Giribet, O. Miskovic, R. Olea and D. Rivera-Betancour, Energy in Higher-Derivative Gravity via Topological Regularization , Phys. Rev. D 98

2018

Later among the works it cites.

G. Anastasiou, I. J. Araya and R. Olea, Renormalization of Entanglement Entropy from topological terms , Phys. Rev. D 97

2018

Later among the works it cites.

G. Anastasiou, I. J. Araya and R. Olea, Topological terms, AdS 2n

Original

2018

Later among the works it cites.

P. Bueno, P. A. Cano and A. Ruipérez, Holographic studies of Einsteinian cubic gravity , JHEP 03

2018

Later among the works it cites.

P. Bueno, P. A. Cano, R. A. Hennigar and R. B. Mann, Universality of Squashed-Sphere Partition Functions , Phys. Rev. Lett. 122

2019

Later among the works it cites.

W. Witczak-Krempa, Entanglement susceptibilities and universal geometric entanglement entropy , Phys. Rev. B 99

2019

Later among the works it cites.

I. J. Araya, J. D. Edelstein, A. R. Sanchez, D. V. Rodriguez and A. V. Lopez, Universal renormalization procedure for higher curvature gravities in D ≤ \leq 5 , JHEP 09

2021

Later among the works it cites.

G. Anastasiou, I. J. Araya, R. B. Mann and R. Olea, Renormalized holographic entanglement entropy in Lovelock gravity , JHEP 06

2021

Later among the works it cites.