On supersymmetry breaking three-form flux on Sasaki-Einstein manifolds

TL;DR

This paper explores nonsupersymmetric three-form fluxes on Sasaki-Einstein manifolds, finding a solution that restores supersymmetry in the IR but encounters UV singularities, suggesting a possible no-go theorem for such flux configurations.

Contribution

It presents a new analytic solution with supersymmetry restoration in the IR and investigates the challenges of curing UV singularities, proposing a potential no-go theorem.

Findings

Supersymmetry is restored in the IR but broken at higher energies.

UV singularities cannot be cured under reasonable assumptions.

A possible no-go theorem for supersymmetry-breaking fluxes on Sasaki-Einstein manifolds.

Abstract

Studying nonsupersymmetric yet imaginary self-dual three-form fluxes in type IIB supergravity backgrounds on Sasaki-Einstein manifolds we find a new analytic solution that restores supersymmetry in the IR, breaks it at higher energies, yet suffers from curvature singularities in the UV, when a certain SUSY-breaking parameter becomes large. Consequently we investigate a variety of possibilities to cure the singularity by either introducing additional sources, changing the fluxes or deforming the geometry. Since it is not possible to cure the singularities making physically reasonably assumptions, we suggest that there might be a no-go theorem disallowing such flux.