Strings fromN=2 gauged Wess-Zumino-Witten models |
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Authors: | E. Ragoucy A. Sevrin P. Sorba |
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Affiliation: | (1) Laboratoire de Physique Théorique, ENSLAPP, LAPP, BP110, F-74941 Annecy-le Vieux Cedex, France;(2) Theoretische Natuurkunde, Vrije Universiteit Brussel, B-1050 Brussels, Belgium;(3) Laboratoire de Physique ENSLAPP, ENS Lyon, 46 affée d'Iralie, F-69364 Lyon Cedex 07, France |
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Abstract: | We present an algebraic approach to string theory. An embedding ofsl(2|1) in a super Lie algebra together with a grading on the Lie algebra determines a nilpotent subalgebra of the super Lie algebra. Chirally gauging this subalgebra in the corresponding Wess-Zumino-Witten model, breaks the affine symmetry of the Wess-Zumino-Witten model to some extension of theN=2 superconformal algebra. The extension is completely determined by thesl(2|1) embedding. The realization of the superconformal algebra is determined by the grading. For a particular choice of grading, one obtains in this way, after twisting, the BRST structure of a string theory. We classify all embeddings ofsl(2|1) into Lie super algebras and give a detailed account of the branching of the adjoint representation. This provides an exhaustive classification and characterization of both all extendedN=2 superconformal algebras and all string theories which can be obtained in this way. |
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