Unification of the General Non-Linear Sigma Model and the Virasoro Master Equation

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dc.creatorde Boer, J.
dc.creatorHalpern, M. B.
dc.date1997-08-08
dc.date.accessioned2026-07-07T04:23:31Z
dc.date.available2026-07-07T04:23:31Z
dc.descriptionThe Virasoro master equation describes a large set of conformal field theories known as the affine-Virasoro constructions, in the operator algebra (affine Lie algebra) of the WZW model, while the Einstein equations of the general non-linear sigma model describe another large set of conformal field theories. This talk summarizes recent work which unifies these two sets of conformal field theories, together with a presumable large class of new conformal field theories. The basic idea is to consider spin-two operators of the form $L_{ij} \partial x^i \partial x^j$ in the background of a general sigma model. The requirement that these operators satisfy the Virasoro algebra leads to a set of equations called the unified Einstein-Virasoro master equation, in which the spin-two spacetime field $L_{ij}$ couples to the usual spacetime fields of the sigma model. The one-loop form of this unified system is presented, and some of its algebraic and geometric properties are discussed.
dc.description18 pages, Latex. Talk presented by MBH at the NATO Workshop `New Developments in Quantum Field Theory', June 14-20, 1997, Zakopane, Poland
dc.identifierhttps://arxiv.org/abs/hep-th/9708050
dc.identifierhttp://arxiv.org/abs/hep-th/9708050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/55060
dc.subjectHigh Energy Physics - Theory
dc.titleUnification of the General Non-Linear Sigma Model and the Virasoro Master Equation
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