Operator representations and Twisted Traces of Coulomb branches

Speaker: Keke Zhang (Perimeter Institute for Theoretical Physics)

Host: Yehao Zhou

Abstract: 3D mirror symmetry predicts that pairs of Higgs and Coulomb branches can be interchanged. Physicists showed that correlation functions on the Coulomb branches and the correlation functions on the Higgs branches it is S-dual to are equal. In mathematics, this can be understood as the twisted traces of the Higgs branch and the Coulomb branch it is S-dual to are equal. I first introduce operator representations of the Coulomb branches. Then I show a construction of explicit twisted traces in integral form for quantum Coulomb branches of good theories, using operator representations.

Time: 10:00 am~12:00 pm, Thursday, February 20, 2025

Location: Room 1610 at SIMIS, Block A, No. 657 Songhu Road, Yangpu District, Shanghai

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About the speaker: Keke Zhang is currently a graduate student at Perimeter Institute for Theoretical Physics, supervised by Prof. Ben Webster. She is interested in mathematical physics and geoemtric representation theory. Her current research is on the operator representations of Coulomb branches and that of the K-theoretic Coulomb branches.