Higher-Dimensional WZW Model on Kähler Manifold and Toroidal Lie Algebra
- 21 November 1997
- journal article
- Published by World Scientific Pub Co Pte Ltd in Modern Physics Letters A
- Vol. 12 (36), 2757-2764
- https://doi.org/10.1142/s0217732397002909
Abstract
We construct a generalization of the two-dimensional Wess–Zumino–Witten model on a 2n-dimensional Kähler manifold as a group-valued nonlinear 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.Keywords
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