Wess-Zumino-Novikov-Witten Models Based on Lie Superalgebras

Details Wess-Zumino-Novikov-Witten Models Based on Lie Superalgebras Wess-Zumino-Novikov-Witten Models Based on Lie Superalgebras

1994-04-21

arxiv.org/abs/hep-th/9404132v1

Phys.Lett. B331 (1994) 93-98

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Latexfile, BONN-TH-94-03

Scientific paper

10.1016/0370-2693(94)90947-4

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.

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