# Large N elliptic genus and AdS/CFT Correspondence

## Abstract

According to one of Maldacena's dualities, type IIB string theory on AdS{sub 3} x S{sup 3} x K3 is equivalent to a certain N = (4, 4) superconformal field theory. In this note we compute the elliptic genus of the boundary theory in the supergravity approximation. A finite quantity is obtained once we introduce a particular exclusion principle. In the regime where the supergravity approximation is reliable, we find exact agreement with the elliptic genus of a sigma model with target space K3{sup N}/S{sub N}.

- Authors:

- Publication Date:

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

- Sponsoring Org.:
- USDOE Director. Office of Science. Office of High Energy and Nuclear Physics. Division of High Energy Physics; National Science Foundation Grant PHY-95-14797 (US)

- OSTI Identifier:
- 838050

- Report Number(s):
- LBNL-42655

R&D Project: PTHOPS; TRN: US0501233

- DOE Contract Number:
- AC03-76SF00098

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of High Energy Physics; Journal Volume: 5; Other Information: Submitted to Journal of High Energy Physics: Volume 5; Journal Publication Date: 09/01/1999; PBD: 29 Dec 1998

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; PAULI PRINCIPLE; SIGMA MODEL; SUPERGRAVITY; TARGETS

### Citation Formats

```
de Boer, Jan.
```*Large N elliptic genus and AdS/CFT Correspondence*. United States: N. p., 1998.
Web.

```
de Boer, Jan.
```*Large N elliptic genus and AdS/CFT Correspondence*. United States.

```
de Boer, Jan. Tue .
"Large N elliptic genus and AdS/CFT Correspondence". United States.
doi:. https://www.osti.gov/servlets/purl/838050.
```

```
@article{osti_838050,
```

title = {Large N elliptic genus and AdS/CFT Correspondence},

author = {de Boer, Jan},

abstractNote = {According to one of Maldacena's dualities, type IIB string theory on AdS{sub 3} x S{sup 3} x K3 is equivalent to a certain N = (4, 4) superconformal field theory. In this note we compute the elliptic genus of the boundary theory in the supergravity approximation. A finite quantity is obtained once we introduce a particular exclusion principle. In the regime where the supergravity approximation is reliable, we find exact agreement with the elliptic genus of a sigma model with target space K3{sup N}/S{sub N}.},

doi = {},

journal = {Journal of High Energy Physics},

number = ,

volume = 5,

place = {United States},

year = {Tue Dec 29 00:00:00 EST 1998},

month = {Tue Dec 29 00:00:00 EST 1998}

}

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