Adler-Kostant-Symes systems as Lagrangian gauge theories

L. Fehér, A. Gábor

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

It is well-known that the integrable Hamiltonian systems defined by the Adler-Kostant-Symes construction correspond via Hamiltonian reduction to systems on cotangent bundles of Lie groups. Generalizing previous results on Toda systems, here a Lagrangian version of the reduction procedure is exhibited for those cases for which the underlying Lie algebra admits an invariant scalar product. This is achieved by constructing a Lagrangian with gauge symmetry in such a way that, by means of the Dirac algorithm, this Lagrangian reproduces the Adler-Kostant-Symes system whose Hamiltonian is the quadratic form associated with the scalar product on the Lie algebra.

Original languageEnglish
Pages (from-to)58-64
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume301
Issue number1-2
DOIs
Publication statusPublished - Aug 19 2002

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gauge theory
algebra
scalars
products
bundles
symmetry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Adler-Kostant-Symes systems as Lagrangian gauge theories. / Fehér, L.; Gábor, A.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 301, No. 1-2, 19.08.2002, p. 58-64.

Research output: Contribution to journalArticle

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