BRST Quantization of String Theory in AdS(3)

Abstract

We study the BRST quantization of bosonic and NSR strings propagating in AdS(3) x N backgrounds. The no-ghost theorem is proved using the Frenkel-Garland-Zuckerman method. Regular and spectrally-flowed representations of affine SL(2,R) appear on an equal footing. Possible generalizations to related curved backgrounds are discussed.

JHEP style, 23 pages; v2:minor changes and references added; v3: typos corrected, version to appear in JHEP; v4: one reference added

References in corpus (3)

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

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• D-branes and extended characters in SL(2,R)/U(1)
• Spectral Flow in AdS(3)/CFT(2)
• Counting Giant Gravitons in AdS_3
• Extended SL(2,R)/U(1) characters, or modular properties of a simple non-rational conformal field theory
• D-branes in Lorentzian AdS(3)
• The abelian cosets of the Heisenberg group
• Superstrings in Thermal Anti-de Sitter Space
• The diagonal cosets of the Heisenberg group
• The BRST quantization and the no-ghost theorem for AdS_3
• General Formalism For the BRST Symmetry
• Non-supersymmetric strings on AdS${}_3$: a world-sheet perspective