Ding-Iohara-Miki symmetry of network matrix models
High Energy Physics - Theory
2016-10-03 v4
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 (q_1, q_2, q_3) 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.
Keywords
Cite
@article{arxiv.1603.05467,
title = {Ding-Iohara-Miki symmetry of network matrix models},
author = {A. Mironov and A. Morozov and Y. Zenkevich},
journal= {arXiv preprint arXiv:1603.05467},
year = {2016}
}
Comments
20 pages, 2 figures