Two-toroidal Lie Algebra as Current Algebra of Four-dimensional Kähler WZW Model

Abstract

We investigate the structure of an infinite-dimensional symmetry of the four-dimensional Kähler WZW model, which is a possible extension of the two-dimensional WZW model. We consider the SL(2,R) group and, using the Gauss decomposition method, we derive a current algebra identified with a two-toroidal Lie algebra, a generalization of the affine Kac-Moody algebra. We also give an expression of the energy-momentum tensor in terms of currents and extra terms.

15 pages (1 eps figure), Latex. Comments, references added. To appear in Phys. Lett. B

References in corpus (1)

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