# MacMahon KZ equation for Ding-Iohara-Miki algebra

@article{Cheewaphutthisakun2021MacMahonKE,
title={MacMahon KZ equation for Ding-Iohara-Miki algebra},
author={Panupong Cheewaphutthisakun and Hiroaki Kanno},
journal={Journal of High Energy Physics},
year={2021}
}
• Published 5 January 2021
• Mathematics
• Journal of High Energy Physics
Abstract We derive a generalized Knizhnik-Zamolodchikov equation for the correlation function of the intertwiners of the vector and the MacMahon representations of Ding-Iohara-Miki algebra. These intertwiners are cousins of the refined topological vertex which is regarded as the intertwining operator of the Fock representation. The shift of the spectral parameter of the intertwiners is generated by the operator which is constructed from the universal R matrix. The solutions to the generalized…
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