Scalar Moduli, Wall Crossing and Phenomenological Predictions

TL;DR

This paper explores scalar moduli stabilization using real intrinsic geometry, analyzing vacuum fluctuations, wall crossing phenomena, and phase transitions in supersymmetric models with abelian scalar fields.

Contribution

It introduces a geometric framework to study vacuum stability, wall crossing, and phenomenological implications of scalar moduli in supersymmetric theories.

Findings

Wall crossing phenomena can be analyzed for abelian scalar fields.

Vacuum fluctuations and phase transitions are characterized geometrically.

Stable vacuum configurations are identified through intrinsic geometric methods.

Abstract

We present the scalar moduli stabilization from the perspective of the real intrinsic geometry. In this paper, we describe the physical nature of the vacuum moduli fluctuations of an arbitrary Fayet configuration. For finitely many abelian scalar fields, we show that the framework of the real intrinsic geometry investigates the mixing between the marginal and threshold vacua. Interestingly, we find that the phenomena of wall crossing and the search of the stable vacuum configurations, pertaining to $D$-term and $F$-term scalar moduli, can be accomplished for the abelian charges. For given vacuum expectation values of the moduli scalars, we provide phenomenological aspects of the vacuum fluctuations and phase transitions in the supersymmetry breaking configurations.