# Full action of two deformation operators in the D1D5 CFT

## Abstract

We are interested in thermalization in the D1D5 CFT, since this process is expected to be dual to black hole formation. We expect that the lowest order process where thermalization occurs will be at second order in the perturbation that moves us away from the orbifold point. The operator governing the deformation off of the orbifold point consists of a twist operator combined with a supercharge operator acting on this twist. In a previous paper we computed the action of two twist operators on an arbitrary state of the CFT. In the present work we compute the action of the supercharges on these twist operators, thereby obtaining the full action of two deformation operators on an arbitrary state of the CFT. We show that the full amplitude can be related to the amplitude with just the twists through an action of the supercharge operators on the initial and final states. As a result, the essential part of this computation consists of moving the contours from the twist operators to the initial and final states; to do this one must first map the amplitude to a covering space where the twists are removed, and then map back to the original spacemore »

- Authors:

- Univ. of Toronto, Toronto, ON (Canada). Dept. of Physics
- The Ohio State Univ., Columbus, OH (United States). Dept. of Physics

- Publication Date:

- Research Org.:
- The Ohio State Univ., Columbus, OH (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1499186

- Grant/Contract Number:
- [SC0011726]

- 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: 2017; Journal Issue: 11]; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; AdS-CFT Correspondence; Black Holes in String Theory; Conformal Field Theory

### Citation Formats

```
Carson, Zaq, Hampton, Shaun, and Mathur, Samir D. Full action of two deformation operators in the D1D5 CFT. United States: N. p., 2017.
Web. doi:10.1007/jhep11(2017)096.
```

```
Carson, Zaq, Hampton, Shaun, & Mathur, Samir D. Full action of two deformation operators in the D1D5 CFT. United States. doi:10.1007/jhep11(2017)096.
```

```
Carson, Zaq, Hampton, Shaun, and Mathur, Samir D. Thu .
"Full action of two deformation operators in the D1D5 CFT". United States. doi:10.1007/jhep11(2017)096. https://www.osti.gov/servlets/purl/1499186.
```

```
@article{osti_1499186,
```

title = {Full action of two deformation operators in the D1D5 CFT},

author = {Carson, Zaq and Hampton, Shaun and Mathur, Samir D.},

abstractNote = {We are interested in thermalization in the D1D5 CFT, since this process is expected to be dual to black hole formation. We expect that the lowest order process where thermalization occurs will be at second order in the perturbation that moves us away from the orbifold point. The operator governing the deformation off of the orbifold point consists of a twist operator combined with a supercharge operator acting on this twist. In a previous paper we computed the action of two twist operators on an arbitrary state of the CFT. In the present work we compute the action of the supercharges on these twist operators, thereby obtaining the full action of two deformation operators on an arbitrary state of the CFT. We show that the full amplitude can be related to the amplitude with just the twists through an action of the supercharge operators on the initial and final states. As a result, the essential part of this computation consists of moving the contours from the twist operators to the initial and final states; to do this one must first map the amplitude to a covering space where the twists are removed, and then map back to the original space on which the CFT is defined.},

doi = {10.1007/jhep11(2017)096},

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

number = [11],

volume = [2017],

place = {United States},

year = {2017},

month = {11}

}

*Citation information provided by*

Web of Science

Web of Science

#### Figures / Tables:

*w*

_{1}and

*w*

_{2}and supercharge contours circling the twist insertions.

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*Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.*