99 citations · 940 across the 36 of their papers we have counts for
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Refined toric branes, surface operators and factorization of generalized Macdonald polynomials
Yegor Zenkevich
We find new universal factorization identities for generalized Macdonald polynomials on the topological locus. We prove the identities (which include all previously known forumlas…
Anomaly in RTT relation for DIM algebra and network matrix models
H. Awata, H. Kanno, A. Mironov +4
We discuss the recent proposal of arXiv:1608.05351 about generalization of the RTT relation to network matrix models. We show that the RTT relation in these models is modified by a…
Toric Calabi-Yau threefolds as quantum integrable systems. R-matrix and RTT relations
Hidetoshi Awata, Hiroaki Kanno, Andrei Mironov +4
R-matrix is explicitly constructed for simplest representations of the Ding-Iohara-Miki algebra. The calculation is straightforward and significantly simpler than the one through t…
Explicit examples of DIM constraints for network matrix models
Hidetoshi Awata, Hiroaki Kanno, Takuya Matsumoto +5
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…
Ding-Iohara-Miki symmetry of network matrix models
A. Mironov, A. Morozov, Y. Zenkevich
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 the…