Zobrazeno 1 - 10
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pro vyhledávání: '"Zenkevich As"'
Autor:
Zenkevich, Yegor
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-known that the worldvolume theory on branes wrapping the circle is a 5d $\
Externí odkaz:
http://arxiv.org/abs/2312.16990
Autor:
Matchenya, Ivan, Khanas, Anton, Podgornyi, Roman, Shirkin, Daniil, Sizykh, Nikita, Anoshkin, Sergey, Krasnikov, Dmitry V., Yulin, Alexei, Zhukov, Alexey, Nasibulin, Albert G., Scheblykin, Ivan, Pushkarev, Anatoly, Zenkevich, Andrey, Marunchenko, Alexandr
The transition to smart wearable and flexible optoelectronic devices communicating with each other and performing neuromorphic computing at the edge is a big goal in next-generation optoelectronics. These devices should perform their regular tasks su
Externí odkaz:
http://arxiv.org/abs/2312.09314
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 (DIM) algebra, while the type of the qq-character is determined by the
Externí odkaz:
http://arxiv.org/abs/2310.02587
Autor:
Zenkevich, Yegor
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-brane crossing operator which plays the role of the $R$-matrix and has i
Externí odkaz:
http://arxiv.org/abs/2212.14808
Autor:
I.V. Zenkevich
Publikováno v:
Язык и текст, Vol 11, Iss 1, Pp 97-107 (2024)
The article is devoted to the study of the US language policy in the field of teaching foreign languages, including Russian, and the relationship between language policy and the national security strategy of the country. At the same time, due to the
Externí odkaz:
https://doaj.org/article/b37ed021502d4cfd85c8afa21a0a9d92
Publikováno v:
In Journal of Chromatography A 11 January 2025 1740
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
Autor:
Zenkevich, Yegor
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 and Mellit can both be understood as specific cases of a general "mas
Externí odkaz:
http://arxiv.org/abs/2112.14687
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