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arXiv · hep-th/9610187

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

Takeo Inami·Hiroaki Kanno·Tatsuya Ueno·Chuan-Sheng Xiong
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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.

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Takeo Inami, Hiroaki Kanno, Tatsuya Ueno, Chuan-Sheng Xiong. 1997-03-07. Two-toroidal Lie Algebra as Current Algebra of Four-dimensional Kähler WZW Model. https://doi.org/10.1016/s0370-2693(97)00260-8

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