Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-04-02
Mod.Phys.Lett. A12 (1997) 2757-2764
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, Latex
Scientific paper
10.1142/S0217732397002909
We construct a generalization of the two-dimensional Wess-Zumino-Witten model on a $2n$-dimensional K\"ahler manifold as a group-valued non-linear sigma model with an anomaly term containing the K\"ahler 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.
Inami Takeo
Kanno Hiroaki
Ueno Tatsuya
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