Classical elliptic current algebras

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dc.creatorPakuliak, S.
dc.creatorRubtsov, V.
dc.creatorSilantyev, A.
dc.date2007-09-22
dc.date.accessioned2026-07-07T08:31:42Z
dc.date.available2026-07-07T08:31:42Z
dc.descriptionIn this paper we discuss classical elliptic current algebras and show that there are two different choices of commutative test function algebras on a complex torus leading to two different elliptic current algebras. Quantization of these classical current algebras give rise to two classes of quantized dynamical quasi-Hopf current algebras studied by Enriquez-Felder-Rubtsov and Arnaudon-Buffenoir-Ragoucy-Roche-Jimbo-Konno-Odake-Shiraishi. Different degenerations of the classical elliptic algebras are considered. They yield different versions of rational and trigonometric current algebras. We also review the averaging method of Faddeev-Reshetikhin, which allows to restore elliptic algebras from the trigonometric ones.
dc.identifierhttps://arxiv.org/abs/0709.3592
dc.identifierhttp://arxiv.org/abs/0709.3592
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138575
dc.subjectQuantum Algebra
dc.titleClassical elliptic current algebras
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