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

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 Poisso...

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Main Authors: Gleb Arutyunov, Rob Klabbers, Enrico Olivucci
Format: Article
Language:English
Published: SpringerOpen 2019-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP05(2019)069
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author Gleb Arutyunov
Rob Klabbers
Enrico Olivucci
author_facet Gleb Arutyunov
Rob Klabbers
Enrico Olivucci
author_sort Gleb Arutyunov
collection DOAJ
description 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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spelling doaj.art-b4e5a0b4ffb44f3496c6b57088393acc2022-12-21T17:59:40ZengSpringerOpenJournal of High Energy Physics1029-84792019-05-012019514010.1007/JHEP05(2019)069Quantum trace formulae for the integrals of the hyperbolic Ruijsenaars-Schneider modelGleb Arutyunov0Rob Klabbers1Enrico Olivucci2II. Institut für Theoretische Physik, Universität HamburgInstitut für Physik und IRIS Adlershof, Humboldt-Universität zu BerlinII. Institut für Theoretische Physik, Universität HamburgAbstract 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.http://link.springer.com/article/10.1007/JHEP05(2019)069Integrable HierarchiesQuantum Groups
spellingShingle Gleb Arutyunov
Rob Klabbers
Enrico Olivucci
Quantum trace formulae for the integrals of the hyperbolic Ruijsenaars-Schneider model
Journal of High Energy Physics
Integrable Hierarchies
Quantum Groups
title Quantum trace formulae for the integrals of the hyperbolic Ruijsenaars-Schneider model
title_full Quantum trace formulae for the integrals of the hyperbolic Ruijsenaars-Schneider model
title_fullStr Quantum trace formulae for the integrals of the hyperbolic Ruijsenaars-Schneider model
title_full_unstemmed Quantum trace formulae for the integrals of the hyperbolic Ruijsenaars-Schneider model
title_short Quantum trace formulae for the integrals of the hyperbolic Ruijsenaars-Schneider model
title_sort quantum trace formulae for the integrals of the hyperbolic ruijsenaars schneider model
topic Integrable Hierarchies
Quantum Groups
url http://link.springer.com/article/10.1007/JHEP05(2019)069
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