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arXiv · hep-th/9704010

Higher-dimensional WZW Model on Kähler Manifold and Toroidal Lie Algebra

Takeo Inami·Hiroaki Kanno·Tatsuya Ueno
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Abstract

We construct a generalization of the two-dimensional Wess-Zumino-Witten model on a $2n$-dimensional Kähler manifold as a group-valued non-linear sigma model with an anomaly term containing the Kähler form. The model is shown to have an infinite-dimensional symmetry which generates an $n$-toroidal Lie algebra. The classical equation of motion turns out to be the Donaldson-Uhlenbeck-Yau equation, which is a $2n$-dimensional generalization of the self-dual Yang-Mills equation.

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Takeo Inami, Hiroaki Kanno, Tatsuya Ueno. 1997-04-02. Higher-dimensional WZW Model on Kähler Manifold and Toroidal Lie Algebra. https://doi.org/10.1142/s0217732397002909

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