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Author Olive, D. I. ♦ Rabinovici, E. ♦ Schwimmer, A.
Source CiteSeerX
Content type Text
File Format PDF
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Non-abelian Group ♦ Beta Function ♦ Non-linear Sigma Model ♦ Conformal Invariance ♦ Affine Lie Algebra ♦ Non-linear Sigma Model Lagrangian Representation ♦ Virasoro Central Charge ♦ Ordinary Wzw Model ♦ Special Large Level Limit ♦ Group Manifold ♦ Exact Conformal Field Theory ♦ Algebraic Point ♦ Appropriate Target Space ♦ Exact Vanishing ♦ Integer Virasoro Central Charge ♦ Semiclassical Limit ♦ Underlying Algebraic Structure ♦ Wzw Model ♦ Non Semi-simple Group
Description Of WZW models, hep-th/9311081, Phys. Lett. B321
A class of string backgrounds associated with non semi-simple groups is obtained as a special large level limit of ordinary WZW models. The models have an integer Virasoro central charge and they include the background recently studied by Nappi and Witten. November 1993In this note we discuss from an algebraic point of view a class of exact conformal field theories which are based on WZW models [1] on group manifolds which are neither compact nor semi-simple. The feature of these models is that the Virasoro central charge is independent of the levels of the affine Lie algebra and is thus an integer equal to the dimension of the group manifold. A non-linear sigma model Lagrangian representation is formally available for all WZW models. To a given group G corresponds an appropriate target space metric and torsion in the non-linear sigma model. In that setting the criteria for conformal invariance is the exact vanishing of the beta function of the theory. Usually it is difficult to verify such a condition in the absence of some underlying algebraic structure. For non-abelian groups neither the metric nor the torsion are flat but they are nevertheless related in a manner reflecting the parallelisability of the manifold [2]. The Virasoro
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article
Publisher Date 1994-01-01