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

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

1996-10-24

arxiv.org/abs/hep-th/9610187v3

Phys.Lett. B399 (1997) 97-104

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0370-2693(97)00260-8

We investigate the structure of an infinite-dimensional symmetry of the four-dimensional K\"ahler 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.

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