Feb 3 – 8, 2019
Lecture Hall(1F), Kavli IPMU
Asia/Tokyo timezone

3d holomorphic blocks from the intertwiner of quantum toroidal algebra

Feb 5, 2019, 11:00 AM
1h
Lecture Hall(1F), Kavli IPMU

Lecture Hall(1F), Kavli IPMU

Speaker

Hiroaki Kanno

Description

The intertwiner of the Fock representation of the quantum toroidal algebra of $\mathfrak{gl}_1$ type can be identified with the refined topological vertex, which is a building block of 5d lift of the Nekrasov instanton partition function. In general the correlation function of the intertwiners satisfies a difference equation of KZ type, where the associated R-matrix is featured. In this talk I will explain how we can derive generalized KZ equation for quantum toroidal algebra in a simplified setting and show that 3d holomorphic blocks arise as solutions to the equation.

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