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arxiv: 0912.1346 · v1 · pith:2N3O45HXnew · submitted 2009-12-08 · ✦ hep-th · math.AG· math.QA

Quantum Wall Crossing in N=2 Gauge Theories

Tudor Dimofte , Sergei Gukov , Yan Soibelman This is my paper
classification ✦ hep-th math.AGmath.QA
keywords gaugetheoriesmotivicrefinedconjecturecrossingexcellentformulas
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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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  1. Macdonald Index From Refined Kontsevich-Soibelman Operator

    hep-th 2025-11 unverdicted novelty 6.0

    A refined Kontsevich-Soibelman operator is conjectured to have trace equal to the Macdonald index for special 4d N=2 SCFTs, yielding closed forms for (A1, g) Argyres-Douglas theories.