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Quantum Wall Crossing in N=2 Gauge Theories

arXiv:0912.1346 · doi:10.1007/s11005-010-0437-x

Abstract

We study refined and motivic wall-crossing formulas in N=2 supersymmetric gauge theories with SU(2) gauge group and N_f < 4 matter hypermultiplets in the fundamental representation. Such gauge theories provide an excellent testing ground for the conjecture that "refined = motivic."

24 pages, 4 figures