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arXiv · hep-th/9301108

Current Algebra of Super WZNW Models

E. Abdalla·M. C. B. Abdalla·O. H. G. Branco·L. E. Saltini
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Abstract

We derive the current algebra of supersymmetric principal chiral models with a Wess-Zumino term. At the critical point one obtains two commuting super Kac-Moody algebra as expected, but in general there are intertwining fields connecting both right and left sectors, analogously to the bosonic case. Moreover, in the present supersymmetric extension we have a quadratic algebra, rather than an affine Lie algebra, due to the mixing between bosonic and fermionic fields since the purely fermionic sector displays a Lie algebra as well.

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E. Abdalla, M. C. B. Abdalla, O. H. G. Branco, L. E. Saltini. 1993-01-26. Current Algebra of Super WZNW Models. https://doi.org/10.1088/0305-4470%2F27%2F13%2F043

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