# Comments on holographic entanglement entropy in $TT$ deformed conformal field theories

## Abstract

The Ryu-Takayanagi (RT) formula has been a key ingredient in our understanding of holography. Recent work on $TT$ deformations has also boosted our understanding of holography away from the conformal boundary of AdS. In this short note, we aim to refine some recent work demonstrating the success of the RT formula in $TT$ deformed theories. We emphasize general arguments that justify the use of the RT formula in general holographic theories that obey a Gubser-Klebanov-Polyakov-Witten (GKPW)-like dictionary. In doing so, we clarify subtleties related to holographic counterterms and discuss the implications for holography in general spacetimes.

- Authors:

- Publication Date:

- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan

- OSTI Identifier:
- 1543174

- Alternate Identifier(s):
- OSTI ID: 1605246

- Grant/Contract Number:
- AC02-05CH11231; SC0019380; PHY-1521446; 15H05895

- Resource Type:
- Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 2; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS

### Citation Formats

```
Murdia, Chitraang, Nomura, Yasunori, Rath, Pratik, and Salzetta, Nico. Comments on holographic entanglement entropy in T T deformed conformal field theories. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.100.026011.
```

```
Murdia, Chitraang, Nomura, Yasunori, Rath, Pratik, & Salzetta, Nico. Comments on holographic entanglement entropy in T T deformed conformal field theories. United States. https://doi.org/10.1103/PhysRevD.100.026011
```

```
Murdia, Chitraang, Nomura, Yasunori, Rath, Pratik, and Salzetta, Nico. Fri .
"Comments on holographic entanglement entropy in T T deformed conformal field theories". United States. https://doi.org/10.1103/PhysRevD.100.026011.
```

```
@article{osti_1543174,
```

title = {Comments on holographic entanglement entropy in T T deformed conformal field theories},

author = {Murdia, Chitraang and Nomura, Yasunori and Rath, Pratik and Salzetta, Nico},

abstractNote = {The Ryu-Takayanagi (RT) formula has been a key ingredient in our understanding of holography. Recent work on TT deformations has also boosted our understanding of holography away from the conformal boundary of AdS. In this short note, we aim to refine some recent work demonstrating the success of the RT formula in TT deformed theories. We emphasize general arguments that justify the use of the RT formula in general holographic theories that obey a Gubser-Klebanov-Polyakov-Witten (GKPW)-like dictionary. In doing so, we clarify subtleties related to holographic counterterms and discuss the implications for holography in general spacetimes.},

doi = {10.1103/PhysRevD.100.026011},

journal = {Physical Review D},

number = 2,

volume = 100,

place = {United States},

year = {2019},

month = {7}

}

Free Publicly Available Full Text

Publisher's Version of Record

https://doi.org/10.1103/PhysRevD.100.026011

https://doi.org/10.1103/PhysRevD.100.026011

Other availability

Cited by: 9 works

*Citation information provided by*

Web of Science

Web of Science

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

##
Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime

journal, January 2015

- Engelhardt, Netta; Wall, Aron C.
- Journal of High Energy Physics, Vol. 2015, Issue 1

##
Entanglement Entropy and $T\overline{T}$ Deformation

journal, September 2018

- Donnelly, William; Shyam, Vasudev
- Physical Review Letters, Vol. 121, Issue 13

##
A refinement of entanglement entropy and the number of degrees of freedom

journal, April 2013

- Liu, Hong; Mezei, Márk
- Journal of High Energy Physics, Vol. 2013, Issue 4

##
Spacetime from unentanglement

journal, May 2018

- Nomura, Yasunori; Rath, Pratik; Salzetta, Nico
- Physical Review D, Vol. 97, Issue 10

##
Generalized gravitational entropy without replica symmetry

journal, March 2015

- Camps, Joan; Kelly, William R.
- Journal of High Energy Physics, Vol. 2015, Issue 3

##
The gravity dual of Rényi entropy

journal, August 2016

- Dong, Xi
- Nature Communications, Vol. 7, Issue 1

##
Holographic entanglement entropy in cutoff AdS

journal, December 2018

- Park, Chanyong
- International Journal of Modern Physics A, Vol. 33, Issue 36

##
Surface/state correspondence as a generalized holography

journal, July 2015

- Miyaji, Masamichi; Takayanagi, Tadashi
- Progress of Theoretical and Experimental Physics, Vol. 2015, Issue 7

##
Gauge theory correlators from non-critical string theory

journal, May 1998

- Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M.
- Physics Letters B, Vol. 428, Issue 1-2

##
dS/dS and T T ¯ $$ T\overline{T} $$

journal, March 2019

- Gorbenko, Victor; Silverstein, Eva; Torroba, Gonzalo
- Journal of High Energy Physics, Vol. 2019, Issue 3

##
Sphere partition functions & cut-off AdS

journal, May 2019

- Caputa, Pawel; Datta, Shouvik; Shyam, Vasudev
- Journal of High Energy Physics, Vol. 2019, Issue 5

##
Classical spacetimes as amplified information in holographic quantum theories

journal, May 2018

- Nomura, Yasunori; Rath, Pratik; Salzetta, Nico
- Physical Review D, Vol. 97, Issue 10

##
Moving the CFT into the bulk with T T ¯ $$ T\overline{T} $$

journal, April 2018

- McGough, Lauren; Mezei, Márk; Verlinde, Herman
- Journal of High Energy Physics, Vol. 2018, Issue 4

##
Holographic entanglement entropy conjecture for general spacetimes

journal, October 2016

- Sanches, Fabio; Weinberg, Sean J.
- Physical Review D, Vol. 94, Issue 8

##
Some calculable contributions to holographic entanglement entropy

journal, August 2011

- Hung, Ling-Yan; Myers, Robert C.; Smolkin, Michael
- Journal of High Energy Physics, Vol. 2011, Issue 8

##
Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence

journal, May 2006

- Ryu, Shinsei; Takayanagi, Tadashi
- Physical Review Letters, Vol. 96, Issue 18

##
The large $N$ limit of superconformal field theories and supergravity

journal, January 1998

- Maldacena, Juan
- Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2

##
Anti de Sitter space and holography

journal, January 1998

- Witten, Edward
- Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2

##
Entanglement beyond AdS

journal, October 2018

- Chakraborty, Soumangsu; Giveon, Amit; Itzhaki, Nissan
- Nuclear Physics B, Vol. 935

##
Lecture notes on holographic renormalization

journal, November 2002

- Skenderis, Kostas
- Classical and Quantum Gravity, Vol. 19, Issue 22

##
A covariant holographic entanglement entropy proposal

journal, July 2007

- Hubeny, Veronika E.; Rangamani, Mukund; Takayanagi, Tadashi
- Journal of High Energy Physics, Vol. 2007, Issue 07

##
Generalized gravitational entropy

journal, August 2013

- Lewkowycz, Aitor; Maldacena, Juan
- Journal of High Energy Physics, Vol. 2013, Issue 8

##
Holography at finite cutoff with a T2 deformation

journal, March 2019

- Hartman, Thomas; Kruthoff, Jorrit; Shaghoulian, Edgar
- Journal of High Energy Physics, Vol. 2019, Issue 3

##
Holographic entanglement entropy for general higher derivative gravity

journal, January 2014

- Dong, Xi
- Journal of High Energy Physics, Vol. 2014, Issue 1

##
A Stress Tensor for Anti-de Sitter Gravity

journal, December 1999

- Balasubramanian, Vijay; Kraus, Per
- Communications in Mathematical Physics, Vol. 208, Issue 2

##
Aspects of holographic entanglement entropy

journal, August 2006

- Ryu, Shinsei; Takayanagi, Tadashi
- Journal of High Energy Physics, Vol. 2006, Issue 08

##
Renormalized entanglement entropy

journal, August 2016

- Taylor, Marika; Woodhead, William
- Journal of High Energy Physics, Vol. 2016, Issue 8

##
Toward a holographic theory for general spacetimes

journal, April 2017

- Nomura, Yasunori; Salzetta, Nico; Sanches, Fabio
- Physical Review D, Vol. 95, Issue 8

##
Quantum corrections to holographic entanglement entropy

journal, November 2013

- Faulkner, Thomas; Lewkowycz, Aitor; Maldacena, Juan
- Journal of High Energy Physics, Vol. 2013, Issue 11

##
Quasilocal energy and conserved charges derived from the gravitational action

journal, February 1993

- Brown, J. David; York, James W.
- Physical Review D, Vol. 47, Issue 4

##
Pulling the boundary into the bulk

journal, July 2018

- Nomura, Yasunori; Rath, Pratik; Salzetta, Nico
- Physical Review D, Vol. 98, Issue 2

##
Entanglement entropy in $T\overline{T}$ -deformed CFT

journal, October 2018

- Chen, Bin; Chen, Lin; Hao, Peng-xiang
- Physical Review D, Vol. 98, Issue 8