ITMP Seminar "q-Virasoro constraints and the algebra of Wilson loops in 3d"

Dear Colleagues,

We are pleased to announce that the next ITMP seminar will be held on Wednesday, May 25, 18:00 (Moscow time). It will be arranged via zoom.

Speaker: Dr. Luca Cassia, Uppsala University

Title: q-Virasoro constraints and the algebra of Wilson loops in 3d

Abstract:  The BPS/CFT correspondence predicts that the partition function and other BPS observables in a 3d N=2 gauge theory can be mapped to states in a q-deformed CFT, i.e. a theory whose symmetry algebra is q-Virasoro. Following this idea, I will discuss how to derive q-Virasoro constraints for the generating function of 1/2-BPS Wilson loops for a family of 3d N=2 gauge theories.

Under certain assumptions on the Chern--Simons level and the number of flavors the constraints can be solved exactly and the solution can be recast as a "superintegrability" formula for characters of the gauge group. Moreover, I will show that the same logic can be applied to refined Chern--Simons theories and refined ABJ theories to derive formulas for refined knot invariants of the unknot. If time permits I will also discuss the symmetries of the constraints and their physical interpretation as dualities of the gauge theory. The talk is based on https://arxiv.org/abs/2007.10354 and https://arxiv.org/abs/2107.07525.

If you want to join the seminar please register here before 16:00, May 25.

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