Hypermoduli Stabilization, Flux Attractors, and Generating Functions

TL;DR

This paper investigates the stabilization of hypermoduli in string compactifications using fluxes, introducing a generating function approach that simplifies the determination of hypermoduli VEVs through an extremization principle, with explicit examples.

Contribution

It presents a novel generating function method for hypermoduli stabilization, applicable even with geometric flux, and provides explicit stabilized vacua in orbifold models.

Findings

Hypermoduli can be stabilized via a generating function approach.

Explicit VEVs are derived for hypermoduli in orbifold examples.

No-scale vacua are maintained despite geometric flux presence.

Abstract

We study stabilization of hypermoduli with emphasis on the effects of generalized fluxes. We find a class of no-scale vacua described by ISD conditions even in the presence of geometric flux. The associated flux attractor equations can be integrated by a generating function with the property that the hypermoduli are determined by a simple extremization principle. We work out several orbifold examples where all vector moduli and many hypermoduli are stabilized, with VEVs given explicitly in terms of fluxes.