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arxiv: hep-th/9301108 · v1 · submitted 1993-01-26 · ✦ hep-th

Current Algebra of Super WZNW Models

E. Abdalla , M.C.B. Abdalla , O.H.G. Branco , L.E. Saltini This is my paper
classification ✦ hep-th
keywords algebrabosoniccurrentfermionicfieldsmodelssupersupersymmetric
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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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