Zobrazeno 1 - 10
of 85
pro vyhledávání: '"Zenkevich, Y."'
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 this paper we explain that the results for the classical ABCD series of L
Externí odkaz:
http://arxiv.org/abs/2202.11683
Publikováno v:
Eur.Phys.J.C 81 (2021) 10, 898
We describe a systematic method to construct arbitrary highest-weight modules, including arbitrary finite-dimensional representations, for any finite dimensional simple Lie algebra $\mathfrak{g}$. The Lie algebra generators are represented as first o
Externí odkaz:
http://arxiv.org/abs/2106.03638
Publikováno v:
Eur. Phys. J. C 81 (2021) 461
We demonstrate that the symmetric elliptic polynomials $E_\lambda(x)$ originally discovered in the study of generalized Noumi-Shiraishi functions are eigenfunctions of the elliptic Ruijsenaars-Schneider (eRS) Hamiltonians that act on the mother funct
Externí odkaz:
http://arxiv.org/abs/2103.02508
Publikováno v:
JHEP 2019 (2019) 97
We introduce an $R$-matrix acting on the tensor product of MacMahon representations of Ding-Iohara-Miki (DIM) algebra $U_{q,t}(\widehat{\widehat{\mathfrak{gl}}}_1)$. This $R$-matrix acts on pairs of $3d$ Young diagrams and retains the nice symmetry o
Externí odkaz:
http://arxiv.org/abs/1810.07676
Publikováno v:
J. High Energ. Phys. 2018 (2018) 192
We describe the general strategy for lifting the Wess-Zumino-Witten model from the level of one-loop Kac-Moody $U_q(\widehat{\mathfrak{g}})_k$ to generic quantum toroidal algebras. A nearly exhaustive presentation is given for the two series $U_{q,t}
Externí odkaz:
http://arxiv.org/abs/1712.08016
Publikováno v:
Nucl.Phys. B918 (2017) 358-385
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 nontrivial, but essentially abelian anomaly cocycle, which we explici
Externí odkaz:
http://arxiv.org/abs/1611.07304
Publikováno v:
Physics Letters B762 (2016) 196-208
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 their various limits/reductions are the relevant substitutes/deformations
Externí odkaz:
http://arxiv.org/abs/1603.05467
Publikováno v:
Journal of High Energy Physics, 05 (2016) 1-44
We consider Dotsenko-Fateev matrix models associated with compactified Calabi-Yau threefolds. They can be constructed with the help of explicit expressions for refined topological vertex, i.e. are directly related to the corresponding topological str
Externí odkaz:
http://arxiv.org/abs/1603.00304
Publikováno v:
Phys. Lett. B756 (2016) 208-211
The actual definition of the Nekrasov functions participating in the AGT relations implies a peculiar choice of contours in the LMNS and Dotsenko-Fateev integrals. Once made explicit and applied to the original triply-deformed (6-dimensional) version
Externí odkaz:
http://arxiv.org/abs/1512.06701
Autor:
Morozov, A., Zenkevich, Y.
Publikováno v:
JHEP 1602 (2016) 098
AGT relations imply that the four-point conformal block admits a decomposition into a sum over pairs of Young diagrams of essentially rational Nekrasov functions - this is immediately seen when conformal block is represented in the form of a matrix m
Externí odkaz:
http://arxiv.org/abs/1510.01896