Abstract
Analyzing closed string tachyon condensation will improve our understanding of spacetime in string theory. We study the string spectrum on a Banados-Teitelboim-Zanelli black hole spacetime supported by Neveu-Schwarz-Neveu-Schwarz flux, which provides a calculable example where we would expect to find a quasilocalized 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 Neveu-Schwarz-Neveu-Schwarz $B$ field, this tachyon is not localized 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.
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