Elsevier

Physics Letters B

Volume 151, Issues 3–4, 14 February 1985, Pages 199-202
Physics Letters B

Anomalies of hidden local chiral symmetries in σ-models and extended supergravities

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Abstract

Non-linear σ-models with hidden gauge symmetries are anomalous, at the quantum level, when coupled to chiral fermions in not anomaly free representation of the hidden chiral symmetry. These considerations generally to super-symmetric kählerian σ-models on coset spaces with hidden chiral symmetries as well as to extended supergravities in four dimensions with local SU(N) symmetry. The presence of the anomaly implies that the scenario of dynamical generation of gauge vector bosons has to be reconsidered in these theories.

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1

Permanent address: University of Wuppertal, Wuppertal, West Germany.

2

On leave of absence from the University of Milan, Milan, Italy, and INFN, Milan, Italy.

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