Explicit examples of DIM constraints for network matrix models

• DOI: 10.1007/jhep07(2016)103
• Publication Date: 2016-07-21T10:36:06Z
• Authors: Hidetoshi Awata; Hiroaki Kanno; Takuya Matsumoto; Andrei Mironov; Alexei Morozov; Andrey Morozov; Yusuke Ohkubo; Yegor Zenkevich
• Keywords: Matrix (chemical analysis); Identity matrix; Matrix model

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