Two toroidal Lie algebra as current algebra of four-dimensional Kahler WZW model
Oct, 1996
13 pages
Published in:
- Phys.Lett.B 399 (1997) 97-104
e-Print:
- hep-th/9610187 [hep-th]
Report number:
- YITP-96-55
Citations per year
Abstract:
We investigate the structure of an infinite-dimensional symmetry of the four-dimensional K\"ahler 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.- 02.20.Sv
- 11.25.Hf
- 4D extension of the 2D WZW model
- Infinite-dimensional symmetry
- Two-toroidal current algebra
- Sugawara-like construction
- field theory: conformal
- dimension: 2
- Wess-Zumino-Witten model
- field theory: Kaehler
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