On Fermion Masses, Gradient Flows and Potential in Supersymmetric Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Further typos corrected and in particular the missing gravitino mass term in the N=2 Lagrangian has been added

Scientific paper

10.1088/1126-6708/2001/05/034

In any low energy effective supergravity theory general formulae exist which allow one to discuss fermion masses, the scalar potential and breaking of symmetries in a model independent set up. A particular role in this discussion is played by Killing vectors and Killing prepotentials. We outline these relations in general and specify then in the context of N=1 and N=2 supergravities in four dimensions. Useful relations of gauged quaternionic geometry underlying hypermultiplets dynamics are discussed.

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