98 citations · 277 across the 12 of their papers we have counts for
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(q,t)-KZ equation for Ding-Iohara-Miki algebra
Hidetoshi Awata, Hiroaki Kanno, Andrei Mironov +4
We derive the generalization of the Knizhnik-Zamolodchikov equation (KZE) associated with the Ding-Iohara-Miki (DIM) algebra U_{q,t}(\widehat{\widehat{\mathfrak{gl}}}_1). We demons…
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…