The no-ghost theorem for string theory in curved backgrounds with a flat timelike direction

Abstract

It is well-known that the standard no-ghost theorem can be extended straightforwardly to the general c=26 CFT on R^{d-1,1} \times K, where 2 \leq d \leq 26 and K is a compact unitary CFT of appropriate central charge. We prove the no-ghost theorem for d=1, i.e., when only the timelike direction is flat. This is done using the technique of Frenkel, Garland and Zuckerman.

25 pages, AMS-LaTeX; v2: added discussion on the extension of our results and on earlier works, minor corrections

References in corpus (2)

• The No-ghost Theorem for AdS_3 and the Stringy Exclusion Principle
• Ghost-free and Modular Invariant Spectra of a String in SL(2,R) and Three Dimensional Black Hole Geometry

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• Quantum Gravity from Timelike Liouville theory
• BRST Quantization of String Theory in AdS(3)
• The no-ghost theorem in curved backgrounds with a timelike u(1): NSR string
• The BRST quantization and the no-ghost theorem for AdS_3
• Physical state representations and gauge fixing in string theory