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Unstable solitons in noncommutative gauge theory

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Published 19 April 2001 Published under licence by IOP Publishing Ltd
, , Citation Mina Aganagic et al JHEP04(2001)001 DOI 10.1088/1126-6708/2001/04/001

1126-6708/2001/04/001

Abstract

We find a class of exact solutions of noncommutative gauge theories corresponding to unstable non-BPS solitons. In the two-dimensional euclidean (or 2+1 dimensional lorentzian) U(1) theory we find localized solutions carrying nonzero magnetic flux. In four euclidean dimensions we find non-BPS solutions with the same Pontrjagin charge but greater energy than the usual self-dual Yang-Mills instanton. We conjecture that these solutions and generalizations thereof correspond to nonsupersymmetric configurations of D(p−2k)-branes (or intersections thereof) in a Dp-brane in the noncommutative scaling limit of large B-field. In the particular case of a 0-brane on a 2-brane the analysis of small fluctuations reveals an infinite tower of states which agrees exactly with that of the 0-2 CFT in the scaling limit. The spectrum contains a tachyon, and we show explicitly that the endpoint of tachyon condensation corresponds to the 0-brane dissolved in the 2-brane.

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10.1088/1126-6708/2001/04/001