Free field realization of superstring theory on AdS3

Abstract

The Coulomb gas representation of expectation values in SU(2) conformal field theory developed by Dotsenko is extended to the SL(2,R) WZW model and applied to bosonic string theory on AdS3 and to Type II superstrings on AdS3 x N. The spectral flow symmetry is included in the free field realization of vertex operators creating superstring states of both Ramond and Neveu-Schwarz sectors. Conjugate representations for these operators are constructed and a background charge prescription is designed to compute correlation functions. Two and three point functions of bosonic and fermionic string states in arbitrary winding sectors are calculated. Scattering amplitudes that violate winding number conservation are also discussed.

40 pages, typos corrected, references added, minor changes in presentation and details completed in the calculation of the R sector 2-point function. Version to appear in JHEP

References in corpus (5)

• LSZ in LST
• Superstrings on NS5 backgrounds, deformed AdS3 and holography
• The Search for a Holographic Dual to AdS(3)xS(3)xS(3)xS(1)
• Type 0 Strings in a 2-d Black Hole
• String amplitudes in the Hpp-wave limit of AdS3xS3

Cited by in corpus (10)

• D-branes in N=2 Liouville and its mirror
• Spectral Flow in AdS(3)/CFT(2)
• The Spectrum of Strings on Warped AdS_3 x S^3
• Non-compact String Backgrounds and Non-rational CFT
• Coulomb integrals for the SL(2,R) WZNW model
• Black hole microstates from the worldsheet
• One-loop amplitudes of winding strings in AdS${}_3$ and the Coulomb gas approach
• Winding Strings in AdS_3
• Noncritical M-theory: Three Dimensions
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality