FZZ Algebra

Abstract

The duality between the Sine-Liouville conformal field theory and the two dimensional black hole is revisited by considering the two possible Sine-Liouville dressings together. We show that this choice is consistent with the structure of correlation functions, and that the OPE of the two dressings yields the black hole deformation operator. As an application of this approach, we investigate the role of higher winding perturbations in the context of c=1 strings, where we argue that they are related to higher-spin discrete states that generalize the 2d black hole operator.

23 pages, JHEP style. v2: small modifications to better clarify some of the arguments

References in corpus (7)

• D-branes in N=2 Liouville and its mirror
• Non-compact String Backgrounds and Non-rational CFT
• On Solvable Time-Dependent Model and Rolling Closed String Tachyon
• Semi-localized instability of the Kaluza-Klein linear dilaton vacuum
• Symmetries, Conserved Charges and (Black) Holes in Two Dimensional String Theory
• Remarks on free field realization of SL(2,R)/U(1) x U(1) WZNW model
• Dual Form of the Paperclip Model

Cited by in corpus (6)

• Microstates of a $2d$ Black Hole in string theory
• FZZ Scattering
• Matrix Quantum Mechanics on $S^1/{\mathbb{Z}}_2$
• Boundary Description of Microstates of the Two-Dimensional Black Hole
• Stringy horizons and generalized FZZ duality in perturbation theory
• Exact chiral ring of AdS(3)/CFT(2)