Fehér, L and Görbe, TF (2016) Trigonometric and Elliptic Ruijsenaars–Schneider Systems on the Complex Projective Space. Letters in Mathematical Physics, 106 (10). pp. 1429-1449. ISSN 0377-9017
Abstract
We present a direct construction of compact real forms of the trigonometric and elliptic n -particle Ruijsenaars–Schneider systems whose completed center-of-mass phase space is the complex projective space CPn−1 with the Fubini–Study symplectic structure. These systems are labeled by an integer p∈{1,…,n−1} relative prime to n and a coupling parameter y varying in a certain punctured interval around pπ/n . Our work extends Ruijsenaars’s pioneering study of compactifications that imposed the restriction 0<y<π/n , and also builds on an earlier derivation of more general compact trigonometric systems by Hamiltonian reduction.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Springer Science+Business Media Dordrecht 2016. This is a post-peer-review, pre-copyedit version of an article published in Letters in Mathematical Physics. The final authenticated version is available online at: https://doi.org/10.1007/s11005-016-0877-z. |
Keywords: | integrable systems; Ruijsenaars–Schneider models; compact phase space |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 24 Jan 2019 13:16 |
Last Modified: | 25 Jun 2023 21:41 |
Status: | Published |
Publisher: | Springer |
Identification Number: | 10.1007/s11005-016-0877-z |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:141553 |