Nonsupersymmetric brane vacua in stabilized compactifications

TL;DR

This paper derives and analyzes nonsupersymmetric D3-brane vacua in type IIB flux compactifications with moduli stabilization, revealing their continuous nature, negative cosmological constant, and potential stability issues.

Contribution

It provides the first detailed derivation and analysis of nonsupersymmetric D3-brane vacua in stabilized compactifications, including stability considerations and brane equivalences.

Findings

Vacua form continuous higher-dimensional spaces than supersymmetric ones

Vacua have negative effective cosmological constant

Perturbative stability is possible but not generic

Abstract

We derive the equations for the nonsupersymmetric vacua of D3-branes in the presence of nonperturbative moduli stabilization in type IIB flux compactifications, and solve and analyze them in the case of two particular 7-brane embeddings at the bottom of the warped deformed conifold. In the limit of large volume and long throat, we obtain vacua by imposing a constraint on the 7-brane embedding. These vacua fill out continuous spaces of higher dimension than the corresponding supersymmetric vacua, and have negative effective cosmological constant. Perturbative stability of these vacua is possible but not generic. Finally, we argue that anti-D3-branes at the tip of the conifold share the same vacua as D3-branes.