Assessing a candidate IIA dual to metastable supersymmetry-breaking

TL;DR

This work tests whether a Type IIA CGLP background can host a holographic dual to metastable SUSY-breaking by analyzing linearized anti-D2 backreactions. Using the Borokhov–Gubser method, the authors derive an analytic description of SUSY-breaking perturbations via the conjugate xi modes and show that a single mode governs the force on a probe D2-brane. A detailed boundary-condition analysis demonstrates that backreacted anti-D2 configurations inevitably produce IR divergences in flux densities and the action, and the requirement of a nonzero brane force is incompatible with removing these singularities. The results cast doubt on the existence of a fully consistent IIA bulk dual for metastable SUSY-breaking in this setup, suggesting a possible swampland obstruction for such constructions.

Abstract

We analyze the space of linearized non-supersymmetric deformations around a IIA solution found by Cvetic, Gibbons, Lu and Pope (CGLP) in hep-th/0101096. We impose boundary conditions aimed at singling out among those perturbations those describing the backreaction of anti-D2 branes on the CGLP background. The corresponding supergravity solution is a would-be dual to a metastable supersymmetry-breaking state. However, it turns out that this candidate bulk solution is inevitably riddled with IR divergences of its flux densities and action, whose physical meaning and implications for models of string cosmology call for further investigation.