MacMahon KZ equation for Quantum Toroidal \mathfrak{gl}_1 Algebra

Panupong Cheewaphutthisakun (University of Glasgow)

Wednesday 7th December, 2022 16:00-17:00 Maths 311B


In this talk, I will derive a generalized Knizhnik-Zamolodchikov equation for the correlation function of the intertwiners of the MacMahon representations of the quantum toroidal \mathfrak{gl}_1 algebra. Subsequently, I will solve the Knizhnik-Zamolodchikov equation, and show that the solution can be expressed in terms of a quantity which are identified as the generalized Nekrasov factor. Finally, I will give the reasons why this quantity might play an important role in supersymmetric gauge theories. 


This talk is based on the paper

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