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

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

2000-04-29

arxiv.org/abs/hep-th/0005002v2

Nucl.Phys. B588 (2000) 453-470

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0550-3213(00)00495-8

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.

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