Unitarity of supersymmetric SL(2,R)/U(1) and no-ghost theorem for fermionic strings in AdS(3) x N

Abstract

The unitarity of the NS supersymmetric coset SL(2,R)/U(1) is studied for the discrete representations. The results are applied to the proof of the no-ghost theorem for fermionic strings in AdS(3) x N in the NS sector. A no-ghost theorem is proved for states in flowed discrete representations.

LaTeX in JHEP style, 16 pages, typos corrected

Cited by in corpus (21)

• Strings on NS-NS Backgrounds as Integrable Deformations
• Superstrings on AdS3 at k=1
• Superstrings on NS5 backgrounds, deformed AdS3 and holography
• SL(2,R)/U(1) Supercoset and Elliptic Genera of Non-compact Calabi-Yau Manifolds
• Mirror Mirror On The Wall: On 2d Black Holes and Liouville Theory
• Integrable spin chain for stringy Wess-Zumino-Witten models
• Quantization of heterotic strings in a Goedel/Anti de Sitter spacetime and chronology protection
• The partition function of the supersymmetric two-dimensional black hole and little string theory
• D-branes in N=2 Liouville and its mirror
• Higher spins on AdS${}_3$ from the worldsheet
• Spectral Flow in AdS(3)/CFT(2)
• Type 0 Strings in a 2-d Black Hole
• Integrable S matrix, mirror TBA and spectrum for the stringy ${\text{AdS}}_3\times {\text{S}}^3\times {\text{S}}^3\times {\text{S}}^1$ WZW model
• Counting Giant Gravitons in AdS_3
• Fundamental Superstrings as Holograms
• Supersymmetric Gödel and warped black holes in string theory
• Three-point functions in superstring theory on AdS3xS3xT4
• BRST Quantization of String Theory in AdS(3)
• Three-dimensional black hole entropy
• Topological Cigar and the c=1 String : Open and Closed
• The BRST quantization and the no-ghost theorem for AdS_3