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arXiv · 1603.05467

Ding-Iohara-Miki symmetry of network matrix models

A. Mironov·A. Morozov·Y. Zenkevich
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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.

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A. Mironov, A. Morozov, Y. Zenkevich. 2016-03-22. Ding-Iohara-Miki symmetry of network matrix models. https://doi.org/10.1016/j.physletb.2016.09.033

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