BPS Wall Crossing and Topological Strings

Details BPS Wall Crossing and Topological Strings BPS Wall Crossing and Topological Strings

2009-10-14

arxiv.org/abs/0910.2615v2

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, additional references

Scientific paper

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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