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arXiv · 1604.08366

Explicit examples of DIM constraints for network matrix models

Hidetoshi Awata·Hiroaki Kanno·Takuya Matsumoto·Andrei Mironov·Alexei Morozov·Andrey Morozov·Yusuke Ohkubo·Yegor Zenkevich
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Abstract

Dotsenko-Fateev and Chern-Simons matrix models, which describe Nekrasov functions for SYM theories in different dimensions, are all incorporated into network matrix models with the hidden Ding-Iohara-Miki (DIM) symmetry. This lifting is especially simple for what we call balanced networks. Then, the Ward identities (known under the names of Virasoro/W-constraints or loop equations or regularity condition for qq-characters) are also promoted to the DIM level, where they all become corollaries of a single identity.

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Hidetoshi Awata, Hiroaki Kanno, Takuya Matsumoto, Andrei Mironov, Alexei Morozov, Andrey Morozov, Yusuke Ohkubo, Yegor Zenkevich. 2016-12-02. Explicit examples of DIM constraints for network matrix models. https://doi.org/10.1007/jhep07(2016)103

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