Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-01-26
J.Phys. A27 (1994) 4709-4716
Physics
High Energy Physics
High Energy Physics - Theory
13 pages
Scientific paper
10.1088/0305-4470/27/13/043
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.
Abdalla Elcio
Abdalla M. C. B.
Branco O. H. G.
Saltini L. E.
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