N=1 No-Scale Supergravity from IIB Orientifolds

TL;DR

The paper presents the effective N=1 no-scale supergravity from flux-induced SUSY breaking in Type IIB orientifolds with D3-branes, obtained by integrating out three gravitino multiplets from an underlying N=4 theory. The low-energy spectrum comprises three moduli from the T6 radii and the 6n brane coordinates, with a no-scale Kähler potential and a cubic superpotential that couples brane fields via the SU(n) structure. The scalar potential is derived explicitly, showing cancellations that yield V = 0 in the SUSY-preserving vacuum and a gravitino mass m = μ/(R1 R2 R3), preserving no-scale structure despite non-Abelian brane interactions. The work also analyzes symmetries, moduli fate across SUSY-breaking branches, and the possibility of de Sitter vacua when certain F-terms do not vanish, providing a concrete low-energy description valuable for hierarchy and stabilization studies.

Abstract

We describe the low-energy effective theory of N=1 spontaneously broken supegravity obtained by flux-induced breaking in the presence of n D3 branes. This theory can be obtained by integrating out three massive gravitino multiplets in the hierarchical breaking N=4 to N=3 to N=2 to N=1. This integration also eliminates the IIB complex dilaton. The resulting theory is a no-scale supergravity model, whose moduli are the three chiral multiplets that correspond to the three radii of the three 2-tori in 6-torus, together with the 6n brane coordinates. The U(n) gauge interactions on the branes respect the no-scale structure,and the N=1 goldstino is the fermionic partner of the 6-torus volume.