Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 299, Issue 1, Pages 163-224Publisher
SPRINGER
DOI: 10.1007/s00220-010-1071-2
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We give a physical explanation of the Kontsevich-Soibelman wall-crossing formula for the BPS spectrum in Seiberg-Witten theories. In the process we give an exact description of the BPS instanton corrections to the hyperkahler metric of the moduli space of the theory on R-3 x S-1. The wall-crossing formula reduces to the statement that this metric is continuous. Our construction of the metric uses a four-dimensional analogue of the two-dimensional tt* equations.
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