String Theory on Warped AdS_3 and Virasoro Resonances

Abstract

We investigate aspects of holographic duals to time-like warped AdS_3 space-times--which include Gödel's universe--in string theory. Using worldsheet techniques similar to those that have been applied to AdS_3 backgrounds, we are able to identify space-time symmetry algebras that act on the dual boundary theory. In particular, we always find at least one Virasoro algebra with computable central charge. Interestingly, there exists a dense set of points in the moduli space of these models in which there is actually a second commuting Virasoro algebra, typically with different central charge than the first. We analyze the supersymmetry of the backgrounds, finding related enhancements, and comment on possible interpretations of these results. We also perform an asymptotic symmetry analysis at the level of supergravity, providing additional support for the worldsheet analysis.

24 pages + appendices

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Cited by in corpus (5)

• Cargese Lectures on the Kerr/CFT Correspondence
• Yangian symmetry in deformed WZNW models on squashed spheres
• Hidden Yangian symmetry in sigma model on squashed sphere
• Microscopic Realization of the Kerr/CFT Correspondence
• Hidden conformal symmetry of extremal Kaluza-Klein black hole in four dimensions