Explicit examples of DIM constraints for network matrix models
High Energy Physics - Theory
2016-12-05 v3
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.
Keywords
Cite
@article{arxiv.1604.08366,
title = {Explicit examples of DIM constraints for network matrix models},
author = {Hidetoshi Awata and Hiroaki Kanno and Takuya Matsumoto and Andrei Mironov and Alexei Morozov and Andrey Morozov and Yusuke Ohkubo and Yegor Zenkevich},
journal= {arXiv preprint arXiv:1604.08366},
year = {2016}
}
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46 pages