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

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:
Integrable Hierarchies
Quantum Groups
Online Access:http://link.springer.com/article/10.1007/JHEP05(2019)069
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spelling doaj-b4e5a0b4ffb44f3496c6b57088393acc2020-11-25T03:49:40ZengSpringerOpenJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Gleb Arutyunov
Rob Klabbers
Enrico Olivucci
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
author_facet Gleb Arutyunov
Rob Klabbers
Enrico Olivucci
author_sort Gleb Arutyunov
title 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_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_sort quantum trace formulae for the integrals of the hyperbolic ruijsenaars-schneider model
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2019-05-01
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.
topic Integrable Hierarchies
Quantum Groups
url http://link.springer.com/article/10.1007/JHEP05(2019)069
work_keys_str_mv AT glebarutyunov quantumtraceformulaefortheintegralsofthehyperbolicruijsenaarsschneidermodel
AT robklabbers quantumtraceformulaefortheintegralsofthehyperbolicruijsenaarsschneidermodel
AT enricoolivucci quantumtraceformulaefortheintegralsofthehyperbolicruijsenaarsschneidermodel
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