Abstract

We compute explicitly Chern-Simons-type terms induced by fermions coupled to external non-Abelian gauge fields in metric nonlinear {sigma} models in three dimensions. We investigate the supersymmetric models defined on general Riemannian and Kaehler manifolds. The diagrammatic calculation is performed by means of the interaction picture Dyson-Wick perturbation theory. {copyright} {ital 1997} {ital The American Physical Society}

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