TL;DR
This paper explores the BRST quantization of bosonic and NSR strings in AdS(3) backgrounds, proving the no-ghost theorem and analyzing representations of affine SL(2,R).
Contribution
It provides a rigorous proof of the no-ghost theorem for strings in AdS(3) using the Frenkel-Garland-Zuckerman method, including spectral flow considerations.
Findings
No-ghost theorem established for AdS(3) backgrounds
Regular and spectrally-flowed representations are treated equally
Framework applicable to related curved backgrounds
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.
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