# Explicit examples of DIM constraints for network matrix models

Journal of High Energy Physics, Jul 2016

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/$$\mathcal{W}$$-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.

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1007%2FJHEP07%282016%29103.pdf

Hidetoshi Awata, Hiroaki Kanno, Takuya Matsumoto. Explicit examples of DIM constraints for network matrix models, Journal of High Energy Physics, 2016, 103, DOI: 10.1007/JHEP07(2016)103