Closed string tachyons in a smooth curved background

Abstract

Closed string tachyon condensation has been studied in orbifolds C2/ZN,p of flat space, using the chiral ring of the underlying N=2 conformal field theory. Here we show that similar phenomena occur in the curved smooth background obtained by adding NS5-branes, such that chiral tachyons are localised on lens submanifolds SU(2)/ZN,p. We find a level-independent subring which coincides with that of C2/ZN,p, corresponding to condensation processes similar to those of hep-th/0111154. We also study level-dependent chiral tachyons.

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