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  Integrable field theories from Poisson algebras

Bordemann, M., Hoppe, J., & Theisen, S. (1991). Integrable field theories from Poisson algebras. Physics Letters B, 267(3), 374-376. doi:10.1016/0370-2693(91)90948-P.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5CB5-5 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5CB6-3
Genre: Journal Article

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PLB267-374.pdf (Publisher version), 201KB
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 Creators:
Bordemann, Martin1, Author
Hoppe, Jens, Author
Theisen, Stefan2, Author              
Affiliations:
1External Organizations, ou_persistent13              
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: New integrable 1 + 1 dimensional classical field theories are found that include infinite dimensional analogues of N-particle Toda-and Calogero-Moser systems, as well as non-relativistic theories with an interaction that is polynomial in the first (spatial) derivative of the field. The existence, as well as the involutivity, of an infinite set of independent conserved quantities follows most easily from a 2 + 1 dimensional Lax-pair which uses as its underlying infinite dimensional Lie algebra a Poisson algebra of functions in two variables.

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 Dates: 1991-09
 Publication Status: Published in print
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 Identifiers: eDoc: 374349
DOI: 10.1016/0370-2693(91)90948-P
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Title: Physics Letters B
Source Genre: Journal
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Pages: - Volume / Issue: 267 (3) Sequence Number: - Start / End Page: 374 - 376 Identifier: ISSN: 0370-2693