The Octagon at large M

TL;DR

This paper extends a D-brane model at Calabi-Yau singularities with supersymmetry breaking to a large M case, suggesting a smooth geometric transition and potential gravity duals throughout the RG flow, relevant for string landscape studies.

Contribution

It demonstrates a large M generalization of a supersymmetry-breaking D-brane model at the Octagon singularity with the same low energy dynamics.

Findings

Large M model preserves low energy effective dynamics.

Potential for smooth geometric transition in the gravity dual.

Implications for string landscape and Swampland discussions.

Abstract

Recently, the first instance of a model of D-branes at Calabi-Yau singularities where supersymmetry is broken dynamically into stable vacua has been proposed. This construction was based on a system of $N$ regular and $M=1$ fractional branes placed at the tip of the so-called (orientifolded) Octagon singularity. In this paper we show that this model admits a large $M$ generalization, having the same low energy effective dynamics. This opens up the possibility that the effect on geometry is smooth, and amenable to describing the gauge theory all along the RG flow, including the deep IR, in terms of a weakly coupled gravity dual background. The relevance of this result in the wider context of the string landscape and the Swampland program is also discussed.