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Boson/Fermion correspondece, instanton R-matrix and (q, t)-deformed Toda hierarchy II.

组织者

唐鑫星

演讲者

Tianqing Zhu

时间

2024年11月26日 14:00 至 15:00

地点

A3-2-301

线上

Zoom 230 432 7880 (BIMSA)

摘要

Quantum toroidal algebra is a really important source for many objects in both mathematics and physics, e.g. K-theoretic enumerative geometry and instanton partition functions for SUSY gauge theory. It has been proved that the quantum toroidal algebra can be constructed via the K-theoretic stable envelopes. In this talk, we will use the stable envelope techniques to give a Fermion realisation of the instanton R-matrix for the quantum toroidal algebra. Thus we realise the Boson/Fermion correspondence for the instanton R-matrix with the result by Garbali and Negut. As an application, we will use the formula to give a fermionic realisation of the universal refined tau function in the (q,t)-deformed Toda hierarchy constructed by Bourgine and Garbali. This is a joint work with Hunter Dinkins.