Институт теоретической и математической физики

МГУ имени М.В. Ломоносова

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

ITMP Seminar
24 мая 2022

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.

If you would like to subscribe to newsletters about ITMP seminars, please, contact seminar@itmp.msu.ru

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