Two-toroidal Lie Algebra as Current Algebra of Four-dimensional Kähler WZW Model
Takeo Inami, Hiroaki Kanno, Tatsuya Ueno, Chuan-Sheng Xiong
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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