Ding-Iohara-Miki symmetry of network matrix models

2016/03/22 by A. Mironov, A. Morozov, Y. Zenkevich · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1016/j.physletb.2016.09.033

published as Physics Letters B762 (2016) 196-208 · 20 pages, 2 figures

arxiv created 2016/03/22 · arxiv updated 2016/10/03

Abstract

Ward identities in the most general "network matrix model" can be described in terms of the Ding-Iohara-Miki algebras (DIM). This confirms an expectation that such algebras and their various limits/reductions are the relevant substitutes/deformations of the Virasoro/W-algebra for (q, t) and (q₁, q₂, q₃) deformed network matrix models. Exhaustive for these purposes should be the Pagoda triple-affine elliptic DIM, which corresponds to networks associated with 6d gauge theories with adjoint matter (double elliptic systems). We provide some details on elliptic qq-characters.

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