2016/04/30 by Hidetoshi Awata, Hiroaki Kanno, Takuya Matsumoto +5 · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep07(2016)103
published as Journal of High Energy Physics, 07 (2016) 1-67 · 46 pages
arxiv created 2016/12/02 · arxiv updated 2016/12/05
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.