On Fermion Masses, Gradient Flows and Potential in Supersymmetric Theories

Abstract

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.

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

References in corpus (2)

• On the Vacuum Structure of Type II String Compactifications on Calabi-Yau Spaces with H-Fluxes
• Domain Walls, Black Holes, and Supersymmetric Quantum Mechanics

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