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pro vyhledávání: '"Chalykh, A."'
Autor:
Chalykh, Oleg, Lü, Yongchao
In this work, we examine the classical and quantum Seiberg-Witten curves of 5d N = 1 SCFTs and their 4d limits. The 5d theories we consider are Seiberg's theories of type $E_{6,7,8}$, which serve as the UV completions of 5d SU(2) gauge theories with
Externí odkaz:
http://arxiv.org/abs/2411.01802
Autor:
Chalykh, Oleg, Ryan, Bradley
This paper studies the spherical subalgebra of the double affine Hecke algebra of type $C^\vee C_n$ and relates it, at the classical level $q = 1$, to a certain character variety of the four-punctured Riemann sphere. This establishes a conjecture fro
Externí odkaz:
http://arxiv.org/abs/2410.23456
Autor:
Chalykh, Oleg
This survey article, written for the Encyclopedia of Mathematical Physics, 2nd edition, is devoted to the remarkable family of operators introduced by Charles Dunkl and to their $q$-analogues discovered by Ivan Cherednik. The main focus is on the r\^
Externí odkaz:
http://arxiv.org/abs/2409.09005
Autor:
Chalykh, Oleg
We show that the Inozemtsev spin chain is integrable. The conserved quantities (commuting Hamiltonians) are constructed using elliptic Dunkl operators. We also suggest a generalisation.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/2407.03276
We consider generalisations of the elliptic Calogero--Moser systems associated to complex crystallographic groups in accordance to \cite{EFMV11ecm}. In our previous work \cite{Argyres:2021iws}, we proposed these systems as candidates for Seiberg--Wit
Externí odkaz:
http://arxiv.org/abs/2309.12760
In this work we establish that the Inozemtsev system is the Seiberg-Witten integrable system encoding the Coulomb branch physics of 4d $\mathcal{N}=2$ USp(2N) gauge theory with four fundamental and (for $N \geq 2$) one antisymmetric tensor hypermulti
Externí odkaz:
http://arxiv.org/abs/2101.04505
Autor:
Berest, Yuri, Chalykh, Oleg
We consider a class of hyperplane arrangements $\mathcal A$ in ${\mathbb C}^n$ that generalise the locus configurations of \cite{CFV}. To such an arrangement we associate a second order partial differential operator of Calogero-Moser type, and prove
Externí odkaz:
http://arxiv.org/abs/2002.08691
Autor:
Chalykh, Anatoly E.1 (AUTHOR) chalykh@mail.ru, Gerasimov, Vladimir K.1 (AUTHOR), Petrova, Tatiana F.1 (AUTHOR) chalykh@mail.ru, Shcherbina, Anna A.1,2 (AUTHOR)
Publikováno v:
Polymers (20734360). Jan2024, Vol. 16 Issue 1, p68. 12p.
Autor:
Nifant'ev, Ilya E., Vinogradov, Alexander A., Vinogradov, Alexey A., Minyaev, Mikhail E., Bagrov, Vladimir V., Salakhov, Ildar I., Shaidullin, Nadim M., Chalykh, Anatoly E., Shapagin, Alexey V., Ivchenko, Pavel V.
Publikováno v:
In Polymer 17 April 2023 272
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