Abstract
We propose a new AdS3/CFT2 duality, in which the bulk string theory has a target spacetime AdS3 times a squashed three-sphere {mathbbm{S}}_{flat}^3 , and the dual CFT2 is a symmetric product of sigma models on ℝϕ× {mathbbm{S}}_{flat}^3 , deformed by a ϕ-dependent ℤ2 twist operator. The duality maps the asymptotic region of AdS3 to the region ϕ → ∞, where the twist interaction in the CFT2 turns off. The AdS3 backgrounds in question have RAdS< ℓs, and so lie on the string side of the string/black hole correspondence transition. As a consequence, the high energy density of states consists of a string gas in AdS3 rather than an ensemble of BTZ black holes. This property allows us to derive the dual CFT2 by a systematic analysis of the worldsheet string theory on AdS3.
Highlights
Introduction and summary1.1 IntroductionThe first example of the AdS3/CF T2 correspondence [1] was obtained by studying type IIB string theory in the near-horizon geometry of a system of n fivebranes wrapped around S1 × M4, with M4 = T4 or K3, and p strings wrapped around the S1
We propose a new AdS3/CF T2 duality, in which the bulk string theory has a target spacetime AdS3 times a squashed three-sphere S3, and the dual CFT2 is a symmetric product of sigma models on Rφ × S3, deformed by a φ-dependent Z2 twist operator
The absence of BTZ black holes in the spectrum suggests the possibility that the theory may be under more quantitative control in this case, since one does not have to resolve issues associated to black hole microstate structure
Summary
The first example of the AdS3/CF T2 correspondence [1] was obtained by studying type IIB string theory in the near-horizon geometry of a system of n fivebranes wrapped around S1 × M4, with M4 = T4 or K3, and p strings wrapped around the S1. Both types of branes were taken to be localized on the transverse R4. One, while for the NS5-F1 system it is the (NS,NS) B-field In the latter case, which we will focus on in this paper, the worldsheet theory (1.1). The level of SL(2, R), k, is determined by the consistency conditions of string theory, and is equal to n
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
