Wess-Zumino-Novikov-Witten Models Based on Lie Superalgebras
Noureddine Mohammedi
TL;DR
This paper investigates the affine current algebra of Lie superalgebras, establishing conditions for Virasoro constructions and deriving a Wess-Zumino-Novikov-Witten action based on these superalgebras.
Contribution
It provides new insights into the structure of affine current algebras for Lie superalgebras and constructs a corresponding Wess-Zumino-Novikov-Witten action.
Findings
Conditions for Virasoro construction are established.
The Virasoro central charge can be an integer equal to the super dimension.
A Wess-Zumino-Novikov-Witten action for Lie superalgebras is derived.
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.
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