BPS Wall Crossing and Topological Strings

Sergio Cecotti; Cumrun Vafa

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arXiv · 0910.2615

BPS Wall Crossing and Topological Strings

Sergio Cecotti·Cumrun Vafa

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Abstract

By embedding N=2 gauge theories in string theory and utilizing string dualities we map the counting of BPS states with arbitrary electric and magnetic charges to computations of an A-model topological string on an associated geometry constructed from the data of the SW curve. We show how the conjecture of Kontsevich and Soibelman regarding wall crossing, as well as a more refined version which captures the spin content of BPS states, is a natural consequence. Chern-Simons theory realized on A-branes and a twistorial construction play key roles.

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Sergio Cecotti, Cumrun Vafa. 2009-11-04. BPS Wall Crossing and Topological Strings. https://arxiv.org/abs/0910.2615

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