Quantum trace formulae for the integrals of the hyperbolic Ruijsenaars-Schneider model

Autor: Gleb Arutyunov, Rob Klabbers, Enrico Olivucci
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2019, Iss 5, Pp 1-40 (2019)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP05(2019)069
Popis: Abstract We conjecture the quantum analogues of the classical trace formulae for the integrals of motion of the quantum hyperbolic Ruijsenaars-Schneider model. This is done by departing from the classical construction where the corresponding model is obtained from the Heisenberg double by the Poisson reduction procedure. We also discuss some algebraic structures associated to the Lax matrix in the classical and quantum theory which arise upon introduction of the spectral parameter.
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