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Poisson hierarchy of discrete strings
Aristotle Univ Thessaloniki, Sch Engn, Fac Civil Engn, Thessaloniki 54249, Greece..
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. Univ Tours, Federat Denis Poisson, CNRS UMR 6083, Lab Math & Phys Theor, F-37200 Tours, France.;Beijing Inst Technol, Dept Phys, Beijing 100081, Peoples R China..
2016 (English)In: Physics Letters A, ISSN 0375-9601, E-ISSN 1873-2429, Vol. 380, no 3, 333-336 p.Article in journal (Refereed) PublishedText
Abstract [en]

The Poisson geometry of a discrete string in three dimensional Euclidean space is investigated. For this the Frenet frames are converted into a spinorial representation, the discrete spinor Frenet equation is interpreted in terms of a transfer matrix formalism, and Poisson brackets are introduced in terms of the spinor components. The construction is then generalised, in a self-similar manner, into an infinite hierarchy of Poisson algebras. As an example, the classical Virasoro (Witt) algebra that determines reparametrisation diffeomorphism along a continuous string, is identified as a particular sub-algebra, in the hierarchy of the discrete string Poisson algebra.

Place, publisher, year, edition, pages
2016. Vol. 380, no 3, 333-336 p.
Keyword [en]
Poisson brackets, Discrete strings, Discrete integrable models
National Category
Physical Sciences
URN: urn:nbn:se:uu:diva-274264DOI: 10.1016/j.physleta.2015.11.005ISI: 000366776300002OAI: oai:DiVA.org:uu-274264DiVA: diva2:900156
EU, FP7, Seventh Framework Programme, IRSES-606096Swedish Research CouncilCarl Tryggers foundation
Available from: 2016-02-03 Created: 2016-01-20 Last updated: 2016-02-03Bibliographically approved

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