Quantum Wall Crossing in N=2 Gauge Theories
Tudor Dimofte, Sergei Gukov, Yan Soibelman
TL;DR
This paper investigates refined and motivic wall-crossing formulas in N=2 SU(2) gauge theories with matter, testing the conjecture that these two approaches are equivalent.
Contribution
It provides a detailed analysis of wall-crossing phenomena in specific N=2 gauge theories and examines the refined = motivic conjecture in this context.
Findings
Confirmation of the refined = motivic conjecture in studied theories
Explicit wall-crossing formulas derived for SU(2) with N_f<4
Insights into BPS state counting in supersymmetric gauge theories
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."
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