On Decay of K-theory

Emil J. Martinec; Gregory Moore

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arXiv · hep-th/0212059

On Decay of K-theory

Emil J. Martinec·Gregory Moore

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Abstract

Closed string tachyon condensation resolves the singularities of nonsupersymmetric orbifolds, however the resolved space typically has fewer D-brane charges than that of the orbifold. The description of the tachyon condensation process via a gauged linear sigma model enables one to track the topology as one passes from the sigma model's ``orbifold phase'' to its resolved, ``geometric phase,'' and thus to follow how the D-brane charges disappear from the effective spacetime dynamics. As a mathematical consequence, our results point the way to a formulation of a ``quantum McKay correspondence'' for the resolution of toric orbifold singularities.

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Emil J. Martinec, Gregory Moore. 2002-12-04. On Decay of K-theory. https://arxiv.org/abs/hep-th/0212059

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