Abstract :
The scalars of an N=1 supersymmetric σ-model in 4 dimensions parameterize a Kähler manifold. The transformations of their fermionic superpartners under the isometries are often anomalous. These anomalies can be canceled by introducing additional chiral multiplets with appropriate charges. To obtain the right charges a non-trivial singlet compensating multiplet can be used. However when the topology of the underlying Kähler manifold is non-trivial, the consistency of this multiplet requires that its charge is quantized. This singlet can be interpreted as a section of a line bundle. We determine the Kähler potentials corresponding to the minimal non-trivial singlet chiral superfields for any compact Kählerian coset space G/H. The quantization condition may be in conflict with the requirement of anomaly cancelation. To illustrate this, we discuss the consistency of anomaly free models based on the coset spaces E6/SO(10)×U(1) and SU(5)/SU(2)×U(1)×SU(3).
