The no-ghost theorem for string theory in curved backgrounds with a flat timelike direction
High Energy Physics - Theory
2009-10-31 v2
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.
Keywords
Cite
@article{arxiv.hep-th/0005002,
title = {The no-ghost theorem for string theory in curved backgrounds with a flat timelike direction},
author = {Masako Asano and Makoto Natsuume},
journal= {arXiv preprint arXiv:hep-th/0005002},
year = {2009}
}
Comments
25 pages, AMS-LaTeX; v2: added discussion on the extension of our results and on earlier works, minor corrections