Coherent States on Lie Algebras: A Constructive Approach

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dc.creatorAntonsen, Frank
dc.date1997-10-23
dc.date.accessioned2026-07-07T10:15:53Z
dc.date.available2026-07-07T10:15:53Z
dc.descriptionWe generalise the notion of coherent states to arbitrary Lie algebras by making an analogy with the GNS construction in $C^*$-algebras. The method is illustrated with examples of semisimple and non-semisimple finite dimensional Lie algebras as well as loop and Kac-Moody algebras. A deformed addition on the parameter space is also introduced simplifying some expressions and some applications to conformal field theory is pointed out, e.g. are differential operator and free field realisations found. PACS: 02.20.S, 03.65.F, 11.25.H Keywords: coherent states, Lie and Kac-Moody algebras, realisations.
dc.descriptionLaTeX2e using the amssymb package
dc.identifierhttps://arxiv.org/abs/physics/9710032
dc.identifierhttp://arxiv.org/abs/physics/9710032
dc.identifierInt.J.Theor.Phys. 38 (1999) 675-700
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173324
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleCoherent States on Lie Algebras: A Constructive Approach
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