Remarks on free field realization of SL(2,R)/U(1) x U(1) WZNW model

Abstract

Free field representations of vertex algebra in SL(2,R)/U(1) x U(1) WZNW model are constructed by considering a twisted version of the Bershadsky-Kutasov free field description of discrete states in the two-dimensional black hole CFT. These correspond to conjugate representations describing primary states in the model on SL(2,R)/U(1) x U(1). A particular evaluation of these leads to identities due to the spectral flow symmetry of sl(2)_k algebra. The computation of correlation functions is discussed and, as an application, these are compared with analogous results known for the sine-Liouville theory. Exact agreement is observed between both analytic structures.

24 pages, no figures. v2 references added; accepted for publication in JHEP

References in corpus (6)

• Classical and Quantum D-branes in 2D String Theory
• Modular Bootstrap for Boundary N=2 Liouville Theory
• Mirror Mirror On The Wall: On 2d Black Holes and Liouville Theory
• Notes on Non-Critical Superstrings in Various Dimensions
• String amplitudes in the Hpp-wave limit of AdS3xS3
• A Holographic View on Matrix Model of Black Hole

Cited by in corpus (14)

• Superstrings on AdS3 at k=1
• D-branes in N=2 Liouville and its mirror
• Spectral Flow in AdS(3)/CFT(2)
• Violating the string winding number maximally in Anti-de Sitter space
• The String Theory on AdS_3 as a Marginal Deformation of a Linear Dilaton Background
• c < 1 String from Two Dimensional Black Holes
• FZZ Algebra
• FZZ Scattering
• A note on the spectral flow operator
• Stringy horizons and generalized FZZ duality in perturbation theory
• Notes on S-Matrix of Non-critical N=2 String
• Scattering of low lying states in the black hole atmosphere
• A Note on Z_2 Symmetries of the KZ Equation
• On string theory on AdS${}_3\times M_7$ in the tensionless limit