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Semi-invariant terms for gauged non-linear sigma-models

par Henneaux, Marc ;Wilch, André
Référence Physics Letters B, 471, 4, page (373-381)
Publication Publié, 1999-06

Article révisé par les pairs

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Résumé :

We determine all the terms that are gauge-invariant up to a total spacetime derivative ('semi-invariant terms') for gauged non-linear sigma models. Assuming that the isotropy subgroup H of the gauge group is compact or semi-simple, we show that (non-trivial) such terms exist only in odd dimensions and are equivalent to the familiar Chern-Simons terms for the subgroup H. Various applications are mentioned, including one to the gauging of the Wess-Zumino-Witten terms in even spacetime dimensions. Our approach is based on the analysis of the descent equation associated with semi-invariant terms. (C) 2000 Elsevier Science B.V.