99 citations · 940 across the 36 of their papers we have counts for
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3d field theory, plane partitions and triple Macdonald polynomials
Yegor Zenkevich
We argue that MacMahon representation of Ding-Iohara-Miki (DIM) algebra spanned by plane partitions is closely related to the Hilbert space of a 3d field theory. Using affine matri…
T[U(N)] duality webs: mirror symmetry, spectral duality and gauge/CFT correspondences
Anton Nedelin, Sara Pasquetti, Yegor Zenkevich
We study various duality webs involving the 3d FT[SU(N)] theory, a close relative of the T[SU(N)] quiver tail. We first map the partition functions of FT[SU(N)] and its 3d spectral…
-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces
H. Awata, H. Kanno, A. Mironov +3
We describe the general strategy for lifting the Wess-Zumino-Witten model from the level of one-loop Kac-Moody to generic quantum toroidal algebras.…
(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…
Exact solutions and critical chaos in dilaton gravity with a boundary
Maxim Fitkevich, Dmitry Levkov, Yegor Zenkevich
We consider (1+1)-dimensional dilaton gravity with a reflecting dynamical boundary. The boundary cuts off the region of strong coupling and makes our model causally similar to the…