Wess-Zumino-Novikov-Witten Models Based on Lie Superalgebras
arXiv:hep-th/9404132 · doi:10.1016/0370-2693(94)90947-4
Abstract
The affine current algebra for Lie superalgebras is examined. The bilinear invariant forms of the Lie superalgebra can be either degenerate or non-degenerate. We give the conditions for a Virasoro construction, in which the currents are primary fields of weight one, to exist. In certain cases, the Virasoro central charge is an integer equal to the super dimension of the group supermanifold. A Wess-Zumino-Novikov-Witten action based on these Lie superalgebras is also found.
10 pages, Latexfile, BONN-TH-94-03
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- Dynamical Topology Change, Compactification and Waves in String Cosmology
- Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1)
- Odd-quadratic Lie superalgebras with a weak filiform module as an odd part