Speaker: |
Yegor Zenkevich (SISSA) |
Title: |
Gauge theories and quantum toroidal algebras |
Date (JST): |
Mon, Mar 23, 2020, 13:15 - 14:45 |
Place: |
Zoom Seminar |
Blackboard: |
(Blackboard talk) |
Abstract: |
We relate networks of intertwining operators of quantum toroidal algebras to partition functions of gauge theories in omega-backgrounds. The gauge theories live on subspaces of certain toric Calabi-Yau three-folds times a "time" circle. This construction gives an interesting perspective both on the gauge theories and on the general algebraic framework of the AGT relations. We illustrate our approach by studying a class of 3d N=2 theories obtained from the intertwiners of particular class of representations of the quantum toroidal algebra associated to gl(1).= |