Gukov, Sergei and Martinec, Emil and Moore, Gregory and Strominger, Andrew
(2004)
*Chern-Simons Gauge Theory and the AdS_3/CFT_2 Correspondence.*
.
(Submitted)
https://resolver.caltech.edu/CaltechAUTHORS:20160506-145809044

PDF
- Submitted Version
See Usage Policy. 367kB |

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20160506-145809044

## Abstract

The bulk partition function of pure Chern-Simons theory on a three-manifold is a state in the space of conformal blocks of the dual boundary RCFT, and therefore transforms non-trivially under the boundary modular group. In contrast the bulk partition function of AdS_3 string theory is the modular-invariant partition function of the dual CFT on the boundary. This is a puzzle because AdS_3 string theory formally reduces to pure Chern-Simons theory at long distances. We study this puzzle in the context of massive Chern-Simons theory. We show that the puzzle is resolved in this context by the appearance of a chiral “spectator boson” in the boundary CFT which restores modular invariance. It couples to the conformal metric but not to the gauge field on the boundary. Consequently, we find a generalization of the standard Chern-Simons/RCFT correspondence involving “nonholomorphic conformal blocks” and nonrational boundary CFTs. These generalizations appear in the long-distance limit of AdS_3 string theory, where the role of the spectator boson is played by other degrees of freedom in the theory.

Item Type: | Report or Paper (Discussion Paper) | ||||||||
---|---|---|---|---|---|---|---|---|---|

Related URLs: |
| ||||||||

ORCID: |
| ||||||||

Additional Information: | (Submitted on 22 Mar 2004). March 19, 2004. We would like to thank J. Maldacena and E. Witten for discussions and C. Schweigert and N. Read for correspondence. G.M. would like to that the KITP for hospitality during the course of some of this work. This work was conducted during the period S.G. served as a Clay Mathematics Institute Long-Term Prize Fellow. The work of E.M. is supported in part by DOE grant DE-FG02-90ER40560, that of G.M. by DOE grant DE-FG02-96ER40949 and that of A.S. by DE-FG02-91ER40654. | ||||||||

Funders: |
| ||||||||

Record Number: | CaltechAUTHORS:20160506-145809044 | ||||||||

Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20160506-145809044 | ||||||||

Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||

ID Code: | 66716 | ||||||||

Collection: | CaltechAUTHORS | ||||||||

Deposited By: | Ruth Sustaita | ||||||||

Deposited On: | 06 May 2016 23:21 | ||||||||

Last Modified: | 09 Mar 2020 13:18 |

Repository Staff Only: item control page