Winding tachyons in BTZ
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Analysing closed string tachyon condensation will improve our understanding of spacetime in string theory. We study the string spectrum on a BTZ black hole spacetime supported by NS-NS flux, which provides a calculable example where we would expect to find a quasi-localised tachyon. We find that there is a winding tachyon when the black hole horizon is smaller than the string scale, as expected. However, due to effects of the NS-NS B field, this tachyon is not localised in the region where the spatial circle is string scale. We also discuss the relation to the Milne orbifold in the limit near the singularity.
37 pages, no figures; v2: references added; v3: ref added, minor corrections, final journal version
37 pages, no figures; v2: references added; v3: ref added, minor corrections, final journal version