Higher dimensional WZW model on Kahler manifold and toroidal Lie algebra
Apr, 1997
12 pages
Published in:
- Mod.Phys.Lett.A 12 (1997) 2757-2764
e-Print:
- hep-th/9704010 [hep-th]
Report number:
- YITP-97-15
Citations per year
Abstract:
We construct a generalization of the two-dimensional Wess-Zumino-Witten model on a -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 -toroidal Lie algebra. The classical equation of motion turns out to be the Donaldson-Uhlenbeck-Yau equation, which is a -dimensional generalization of the self-dual Yang-Mills equation.- Wess-Zumino-Witten model
- dimension: 2
- field theory: Kaehler
- symmetry: transformation
- dimension: infinite
- field equations: Yang-Mills
- duality
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