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String theory on AdS_3

de Boer, Jan and Ooguri, Hirosi and Robins, Harlan and Tannenhauser, Jonathan (1998) String theory on AdS_3. Journal of High Energy Physics, 1998 (12). Art. No. 026. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20090918-132530709

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Abstract

It was shown by Brown and Henneaux that the classical theory of gravity on AdS_3 has an infinite-dimensional symmetry group forming a Virasoro algebra. More recently, Giveon, Kutasov and Seiberg (GKS) constructed the corresponding Virasoro generators in the first-quantized string theory on AdS_3. In this paper, we explore various aspects of string theory on AdS_3 and study the relation between these two works. We show how semi-classical properties of the string theory reproduce many features of the AdS/CFT duality. Furthermore, we examine how the Virasoro symmetry of Brown and Henneaux is realized in string theory, and show how it leads to the Virasoro Ward identities of the boundary CFT. The Virasoro generators of GKS emerge naturally in this analysis. Our work clarifies several aspects of the GKS construction: why the Brown-Henneaux Virasoro algebra can be realized on the first-quantized Hilbert space, to what extent the free-field approximation is valid, and why the Virasoro generators act on the string worldsheet localized near the boundary of AdS_3. On the other hand, we find that the way the central charge of the Virasoro algebra is generated is different from the mechanism proposed by GKS.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1088/1126-6708/1998/12/026DOIUNSPECIFIED
http://www.iop.org/EJ/abstract/1126-6708/1998/12/026PublisherUNSPECIFIED
http://arxiv.org/abs/hep-th/9812046arXivUNSPECIFIED
Additional Information:© 1998 SISSA. Received 22 December 1998, accepted for publication 27 December 1998. Published 23 February 1999. We would like to thank K. Bardakçi for discussions and J. Teschner for useful correspondence. JdB would like to thank S. Shatashivili for collaboration at an earlier stage of this work. This work was supported in part by the NSF grant PHY-95-14797 and the DOE grant DE-AC03-76SF00098. E-print number: hep-th/9812046
Funders:
Funding AgencyGrant Number
NSFPHY-95-14797
Department of EnergyDE-AC03-76SF00098
Subject Keywords:p-branes; Black Holes in String Theory
Record Number:CaltechAUTHORS:20090918-132530709
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20090918-132530709
Official Citation:String theory on AdS3 Jan de Boer, Hirosi Ooguri, Harlan Robins and Jonathan Tannenhauser JHEP12(1998)026 doi: 10.1088/1126-6708/1998/12/026
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:15979
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:05 Oct 2009 16:36
Last Modified:29 Aug 2014 14:25

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