Explicit examples of DIM constraints for network matrix models

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.

arXiv comment46 pages

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Cited by in corpus (81)

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• $(q,t)$-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces
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