New approach to N = 2 supersymmetric Ruijsenaars-Schneider model

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  • Joint Institute for Nuclear Research
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Original languageEnglish
Title of host publicationProceedings of RDP online workshop "Recent Advances in Mathematical Physics
Subtitle of host publicationPoS(Regio2020)
Publication statusPublished - 23 Apr 2021
Event2020 RDP Online Workshop "Recent Advances in Mathematical Physics", Regio 2020 - Virtual, Online
Duration: 5 Dec 20206 Dec 2020

Publication series

NameProceedings of Science
PublisherSissa Medialab Srl
Volume394

Abstract

We present a very simple form of the supercharges and the Hamiltonian of N = 2 supersymmetric extension of n-particle Ruijsenaars-Schneider models for three cases of the interaction: 1/(xi − x j ), 1/tan(xi − x j ), 1/tanh(xi − x j ). The long “fermionic tails” of the supercharges and Hamiltonian rolled up in the simple rational functions depending on fermionic bilinears.

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New approach to N = 2 supersymmetric Ruijsenaars-Schneider model. / Kozyrev, Nikolay; Krivonos, Sergey; Lechtenfeld, Olaf.
Proceedings of RDP online workshop "Recent Advances in Mathematical Physics: PoS(Regio2020). 2021. (Proceedings of Science; Vol. 394).

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Kozyrev, N, Krivonos, S & Lechtenfeld, O 2021, New approach to N = 2 supersymmetric Ruijsenaars-Schneider model. in Proceedings of RDP online workshop "Recent Advances in Mathematical Physics: PoS(Regio2020). Proceedings of Science, vol. 394, 2020 RDP Online Workshop "Recent Advances in Mathematical Physics", Regio 2020, Virtual, Online, 5 Dec 2020. https://doi.org/10.22323/1.394.0018
Kozyrev, N., Krivonos, S., & Lechtenfeld, O. (2021). New approach to N = 2 supersymmetric Ruijsenaars-Schneider model. In Proceedings of RDP online workshop "Recent Advances in Mathematical Physics: PoS(Regio2020) (Proceedings of Science; Vol. 394). https://doi.org/10.22323/1.394.0018
Kozyrev N, Krivonos S, Lechtenfeld O. New approach to N = 2 supersymmetric Ruijsenaars-Schneider model. In Proceedings of RDP online workshop "Recent Advances in Mathematical Physics: PoS(Regio2020). 2021. (Proceedings of Science). doi: 10.22323/1.394.0018
Kozyrev, Nikolay ; Krivonos, Sergey ; Lechtenfeld, Olaf. / New approach to N = 2 supersymmetric Ruijsenaars-Schneider model. Proceedings of RDP online workshop "Recent Advances in Mathematical Physics: PoS(Regio2020). 2021. (Proceedings of Science).
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abstract = "We present a very simple form of the supercharges and the Hamiltonian of N = 2 supersymmetric extension of n-particle Ruijsenaars-Schneider models for three cases of the interaction: 1/(xi − x j ), 1/tan(xi − x j ), 1/tanh(xi − x j ). The long “fermionic tails” of the supercharges and Hamiltonian rolled up in the simple rational functions depending on fermionic bilinears.",
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