Free Field Realizations of the Elliptic Affine Lie Algebra sl(2,R)+Ω_R/dR

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dc.creatorBueno, Andre
dc.creatorCox, Ben
dc.creatorFutorny, Vyacheslav
dc.date2009-02-07
dc.date2009-05-23
dc.date.accessioned2026-07-07T13:17:13Z
dc.date.available2026-07-07T13:17:13Z
dc.descriptionIn this paper we construct two free field realizations of the elliptic affine Lie algebra sl(2,R) + Ω_R/dR, where R=C[t,t^{-1},u|u^2=t^3 - 2b t^2 + t]. The first realization gives an analogue of Wakimoto's construction for Affine Kac-Moody algebras, but in the setting of the elliptic affine Lie algebra. The second realization gives new type of representations analogous to Imaginary Verma modules in the Affine setting.
dc.descriptionupdated version
dc.identifierhttps://arxiv.org/abs/0902.1273
dc.identifierhttp://arxiv.org/abs/0902.1273
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231043
dc.subjectRepresentation Theory
dc.subjectMathematical Physics
dc.subject17B67, 81R10
dc.titleFree Field Realizations of the Elliptic Affine Lie Algebra sl(2,R)+Ω_R/dR
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