Sine-Gordon Equation and Representations of Affine Kac-Moody Algebra \hat{sl_2}

dc.creator	Billig, Yuly
dc.date	1999-10-26
dc.date.accessioned	2026-07-07T04:27:13Z
dc.date.available	2026-07-07T04:27:13Z
dc.description	The goal of this paper is to give a representation-theoretic interpretation of the sine-Gordon equation. We consider a vertex operator representation of affine Kac-Moody algebra \hat{sl_2} on the space of differential operators. In this formulation, the tau-function becomes a function of non-commuting variables. Using the skew Casimir operators, we obtain a hierarchy of equations in Hirota form that contains sine-Gordon, KdV and mKdV equations and construct their soliton solutions.
dc.description	23 pages
dc.identifier	https://arxiv.org/abs/hep-th/9910204
dc.identifier	http://arxiv.org/abs/hep-th/9910204
dc.identifier.uri	http://salesiana.dossiersoluciones.com/handle/123456789/56337
dc.subject	High Energy Physics - Theory
dc.title	Sine-Gordon Equation and Representations of Affine Kac-Moody Algebra \hat{sl_2}
dc.type	text

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