### Supersymmetric Renyi entropy in CFT 2 and AdS 3

We show that in any two dimensional conformal field theory with (2, 2) super-symmetry one can define a supersymmetric analog of the usual Renyi entropy of a spatial region A. It differs from the Renyi entropy by a universal function (which we compute) of the central charge, Renyi parameter n and the geometric parameters of A. In the limit n → 1 it coincides with the entanglement entropy. Thus, it contains the same information as the Renyi entropy but its computation only involves correlation functions of chiral and anti-chiral operators. We also show that this quantity appears naturally in string theory on AdS3.

- Publication Date:

- Grant/Contract Number:
- FG02-13ER41958; SC0009924

- Type:
- Accepted Manuscript

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

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 1; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Research Org:
- Hebrew Univ. of Jerusalem (Israel). Racah Inst. of Physics; Univ. of Chicago, IL (United States)

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

- Contributing Orgs:
- I-CORE Program of the Planning and Budgeting Committee

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Field Theories in Lower Dimensions; Extended Supersymmetry; AdS-CFT Correspondence; Conformal Field Models in String Theory; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY

- OSTI Identifier:
- 1393409

- Alternate Identifier(s):
- OSTI ID: 1393392

```
Giveon, Amit, and Kutasov, David.
```*Supersymmetric Renyi entropy in CFT 2 and AdS 3*. United States: N. p.,
Web. doi:10.1007/JHEP01(2016)042.

```
Giveon, Amit, & Kutasov, David.
```*Supersymmetric Renyi entropy in CFT 2 and AdS 3*. United States. doi:10.1007/JHEP01(2016)042.

```
Giveon, Amit, and Kutasov, David. 2016.
"Supersymmetric Renyi entropy in CFT 2 and AdS 3". United States.
doi:10.1007/JHEP01(2016)042. https://www.osti.gov/servlets/purl/1393409.
```

```
@article{osti_1393409,
```

title = {Supersymmetric Renyi entropy in CFT 2 and AdS 3},

author = {Giveon, Amit and Kutasov, David},

abstractNote = {We show that in any two dimensional conformal field theory with (2, 2) super-symmetry one can define a supersymmetric analog of the usual Renyi entropy of a spatial region A. It differs from the Renyi entropy by a universal function (which we compute) of the central charge, Renyi parameter n and the geometric parameters of A. In the limit n → 1 it coincides with the entanglement entropy. Thus, it contains the same information as the Renyi entropy but its computation only involves correlation functions of chiral and anti-chiral operators. We also show that this quantity appears naturally in string theory on AdS3.},

doi = {10.1007/JHEP01(2016)042},

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

number = 1,

volume = 2016,

place = {United States},

year = {2016},

month = {1}

}