Ding Iohara Miki symmetry of network matrix models
Abstract Ward identities in the most general "network matrix model" from [1] 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.