99 citations · 940 across the 36 of their papers we have counts for
37 papers
Wall crossing, string networks and quantum toroidal algebras
Yegor Zenkevich
We investigate BPS states in 4d N=4 supersymmetric Yang-Mills theory and the corresponding (p, q) string networks in Type IIB string theory. We propose a new interpretation of the…
Spiralling branes, affine qq-characters and elliptic integrable systems
Yegor Zenkevich
We apply the spiralling branes technique introduced in arXiv:2312.16990 to many-body integrable systems. We start by giving a new R-matrix description of the trigonometric Ruijsena…
Spiralling branes and R-matrices
Yegor Zenkevich
We extend the dictionary between Type IIB branes and representations of the Ding-Iohara-Miki (DIM) algebra to the case when one of the space directions is a circle. It is well-know…
On R-matrix formulation of qq-characters
Mehmet Batu Bayındırlı, Dilan Nur Demirtaş, Can Kozçaz +1
We introduce an R-matrix formulation of qq-characters and corresponding Frenkel-Reshetikhin deformed W-algebras. The R-matrix featuring in the construction is of Ding-Iohara-Miki (…
Hanany-Witten brane crossing and Ding-Iohara-Miki algebra
Yegor Zenkevich
We further develop the correspondence between representations of Ding-Iohara-Miki (DIM) algebra and Type IIB branes. In particular we explicitly compute the Hanany-Witten type 5-br…
Polynomial representations of classical Lie algebras and flag varieties
A. Morozov, M. Reva, N. Tselousov +1
Recently we have started a program to describe the action of Lie algebras associated with Dynkin-type diagrams on generic Verma modules in terms of polynomial vector fields. In thi…
On pentagon identity in Ding-Iohara-Miki algebra
Yegor Zenkevich
We notice that the famous pentagon identity for quantum dilogarithm functions and the five-term relation for certain operators related to Macdonald polynomials discovered by Garsia…
Irreducible representations of simple Lie algebras by differential operators
A. Morozov, M. Reva, N. Tselousov +1
We describe a systematic method to construct arbitrary highest-weight modules, including arbitrary finite-dimensional representations, for any finite dimensional simple Lie algebra…
Duality in elliptic Ruijsenaars system and elliptic symmetric functions
A. Mironov, A. Morozov, Y. Zenkevich
We demonstrate that the symmetric elliptic polynomials originally discovered in the study of generalized Noumi-Shiraishi functions are eigenfunctions of the elliptic Ruijs…
Mixed network calculus
Yegor Zenkevich
We show how to combine higgsed topological vertices introduced in our previous work with conventional refined topological vertices. We demonstrate that the extended formalism descr…
4d higgsed network calculus and elliptic DIM algebra
Mohamed Ghoneim, Can Kozçaz, Kerem Kurşun +1
Supersymmetric gauge theories of certain class possess a large hidden nonperturbative symmetry described by the Ding-Iohara-Miki (DIM) algebra which can be used to compute their pa…
ADHM in 8d, coloured solid partitions and Donaldson-Thomas invariants on orbifolds
Giulio Bonelli, Nadir Fasola, Alessandro Tanzini +1
We study the moduli space of invariant BPS conditions in supersymmetric gauge theory on non-commutative by means of an ADHM-like quiver construction and we…
Solution of tetrahedron equation and cluster algebras
Pavlo Gavrylenko, Mykola Semenyakin, Yegor Zenkevich
We notice a remarkable connection between Bazhanov-Sergeev solution of Zamolodchikov tetrahedron equation and certain well-known cluster algebra expression. The tetrahedron transfo…
Dilaton gravity with a boundary: from unitarity to black hole evaporation
Maxim Fitkevich, Dmitry Levkov, Yegor Zenkevich
We point out that two-dimensional Russo-Susskind-Thorlacius (RST) model for evaporating black holes is locally equivalent - at the full quantum level - to flat-space Jackiw-Teitelb…
Quiver algebras of 4d gauge theories
Fabrizio Nieri, Yegor Zenkevich
We construct an -deformation of W algebras, corresponding to the additive version of quiver algebras which feature prominently in the 5d version of the BPS…
Flipping the head of T[SU(N)]: mirror symmetry, spectral duality and monopoles
Francesco Aprile, Sara Pasquetti, Yegor Zenkevich
We consider T[SU(N)] and its mirror, and we argue that there are two more dual frames, which are obtained by adding flipping fields for the moment maps on the Higgs and Coulomb bra…
Higgsed network calculus
Yegor Zenkevich
We introduce a formalism for describing holomorphic blocks of 3d quiver gauge theories using networks of Ding-Iohara-Miki algebra intertwiners. Our approach is very direct and give…
The MacMahon R-matrix
H. Awata, H. Kanno, A. Mironov +3
We introduce an -matrix acting on the tensor product of MacMahon representations of Ding-Iohara-Miki (DIM) algebra . This -matri…
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…
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…