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TMF, 2021, Volume 208, Number 2, Pages 180–195 (Mi tmf10081)  

On the quantum $\mathfrak{osp}(1|2\ell)$ Toda chain

A. A. Gerasimova, D. R. Lebedevab, S. V. Oblezincd*

a Laboratory of Quantum Physics and Information, Kharkevich Institute for Information Transmission Problems of Russian Academy of Sciences, Moscow, Russia
b Moscow Center for Continuous Mathematical Education, Moscow, Russia
c School of Mathematical Sciences, University of Nottingham, Nottingham, United Kingdom
d Alikhanov Institute for Theoretical and Experimental Physics, National Research Center "Kurchatov Institute", Moscow, Russia

Abstract: The orthosymplectic Lie superalgebra $\mathfrak{osp}(1| 2\ell)$ is the closest superanalogue of standard Lie algebras. We demonstrate that the corresponding $\mathfrak{osp}(1| 2\ell)$ Toda chain is an instance of the $BC_\ell$ Toda chain. The underlying reason for this relation is discussed.

Keywords: orthosymplectic Lie superalgebra, $BC$-type root system, quantum Toda chain.

Funding Agency Grant Number
Russian Science Foundation 16-11-10075
EPSRC EP/L000865/1
The research of D. R. Lebedev was supported by the RSF grant 16-11-10075. The work of S. V. Oblezin was supported in part by the RSF grant 16-11-10075 and by the EPSRC grant EP/L000865/1.

* Author to whom correspondence should be addressed

DOI: https://doi.org/10.4213/tmf10081

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English version:
Theoretical and Mathematical Physics, 2021, 208:2, 1004–1017

Bibliographic databases:

Received: 26.02.2021
Revised: 26.02.2021

Citation: A. A. Gerasimov, D. R. Lebedev, S. V. Oblezin, “On the quantum $\mathfrak{osp}(1|2\ell)$ Toda chain”, TMF, 208:2 (2021), 180–195; Theoret. and Math. Phys., 208:2 (2021), 1004–1017

Citation in format AMSBIB
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