Notes on AdS

Amit Giveon*, David Kutasov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

74 Scopus citations

Abstract

We use the conjectured strong-weak coupling worldsheet duality between the SL(2)/U (1) and sine-Liouville conformal field theories to study some properties of degenerate operators and to compute correlation functions in CFT ON AdS3. The same quantities have been computed in the past by other means. The agreement between the different approaches provides new evidence for the duality. We also discuss the supersymmetric analog of this duality, the correspondence between SCFT on the cigar and N = 2 Liouville. We show that in the spacetime CFT dual to string theory on AdS3 via the AdS/CFT correspondence, the central term in the Virasoro algebra takes different values in different sectors of the theory. In a companion paper we use the results described here to study D-branes in AdS3.

Original languageAmerican English
Pages (from-to)303-336
Number of pages34
JournalNuclear Physics B
Volume621
Issue number1-2
DOIs
StatePublished - 2002

Bibliographical note

Funding Information:
We thank A. Schwimmer for collaboration on this project. We also thank J. Maldacena, A. Parnachev and D. Sahakyan for discussions. The work of A.G. is supported in part by BSF—American–Israel Bi-National Science Foundation, the Israel Academy of Sciences and Humanities—Centers of Excellence Program, the German–Israel Bi-National Science Foundation, and the European RTN network HPRN-CT-2000-00122. The work of D.K. is supported in part by DOE grant #DE-FG02-90ER40560. A.G. thanks the Einstein Center at the Weizmann Institute for partial support. D.K. thanks the Weizmann Institute for hospitality during the course of this work.

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