## Cutoff AdS _{3} versus the $$ T\overline{T} $$ deformation

## Abstract

A recent proposal relates two dimensional holographic conformal field theories deformed by the integrable $$ T\overline{T} $$ flow to AdS _{3} with a finite radial cutoff. We investigate this proposal by studying perturbative correlation functions on the two sides. For low point correlators of the stress tensor, we successfully match the deformed CFT results at large central charge to bulk results obtained in classical pure gravity. Furthermore the deformed CFT also provides definite predictions for loop corrections in the bulk. We then include matter fields in the bulk. To reproduce the classical bulk two-point function of a scalar operator we show that the deformed CFT needs to be augmented with double trace scalar operators, with the $$ T\overline{T} $$ operator yielding corrections corresponding to loops in the bulk.

- Authors:

- Univ. of California, Los Angeles, CA (United States). Mani L. Bhaumik Inst. for Theoretical Physics
- California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
- Univ. of California, Santa Barbara, CA (United States). Dept. of Physics

- Publication Date:

- Research Org.:
- California Inst. of Technology, Pasadena, CA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1501461

- Grant/Contract Number:
- SC0011632

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 7; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; Conformal Field Theory

### Citation Formats

```
Kraus, Per, Liu, Junyu, and Marolf, Donald. Cutoff AdS3 versus the $ T\overline{T} $ deformation. United States: N. p., 2018.
Web. doi:10.1007/jhep07(2018)027.
```

```
Kraus, Per, Liu, Junyu, & Marolf, Donald. Cutoff AdS3 versus the $ T\overline{T} $ deformation. United States. doi:10.1007/jhep07(2018)027.
```

```
Kraus, Per, Liu, Junyu, and Marolf, Donald. Wed .
"Cutoff AdS3 versus the $ T\overline{T} $ deformation". United States. doi:10.1007/jhep07(2018)027. https://www.osti.gov/servlets/purl/1501461.
```

```
@article{osti_1501461,
```

title = {Cutoff AdS3 versus the $ T\overline{T} $ deformation},

author = {Kraus, Per and Liu, Junyu and Marolf, Donald},

abstractNote = {A recent proposal relates two dimensional holographic conformal field theories deformed by the integrable $ T\overline{T} $ flow to AdS3 with a finite radial cutoff. We investigate this proposal by studying perturbative correlation functions on the two sides. For low point correlators of the stress tensor, we successfully match the deformed CFT results at large central charge to bulk results obtained in classical pure gravity. Furthermore the deformed CFT also provides definite predictions for loop corrections in the bulk. We then include matter fields in the bulk. To reproduce the classical bulk two-point function of a scalar operator we show that the deformed CFT needs to be augmented with double trace scalar operators, with the $ T\overline{T} $ operator yielding corrections corresponding to loops in the bulk.},

doi = {10.1007/jhep07(2018)027},

journal = {Journal of High Energy Physics (Online)},

number = 7,

volume = 2018,

place = {United States},

year = {2018},

month = {7}

}