Holomorphic Bisectional Curvatures, Supersymmetry Breaking, and Affleck-Dine Baryogenesis

Abstract

Working in $D=4,N=1$ supergravity, we utilize relations between holomorphic sectional and bisectional curvatures of Kahler manifolds to constrain Affleck-Dine baryogenesis. We show the following No-Go result: Affleck-Dine baryogenesis cannot be performed if the holomorphic sectional curvature at the origin is isotropic in tangent space; as a special case, this rules out spaces of constant holomorphic sectional curvature (defined in the above sense) and in particular maximally symmetric coset spaces. We also investigate scenarios where inflationary supersymmetry breaking is identified with the supersymmetry breaking responsible for mass splitting in the visible sector, using conditions of sequestering to constrain manifolds where inflation can be performed.

9 pages

References in corpus (3)

• Sequestering in String Theory
• Constraints for the existence of flat and stable non-supersymmetric vacua in supergravity
• Affleck-Dine Baryogenesis in Effective Supergravity

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• Kahler Moduli Inflation in Type IIB Compactifications: A random tumble through the Calabi-Yau landscape
• Higgsino Dark Matter and the Cosmological Gravitino Problem
• Early Universe Cosmology, Effective Supergravity, and Invariants of Algebraic Forms