Localized O6-plane solutions with Romans mass

TL;DR

This paper provides evidence for localized O6-plane solutions with Romans mass in massive IIA supergravity, showing that the unphysical regions in massless solutions can be resolved through a deformation process and numerical analysis.

Contribution

It demonstrates the existence of localized O6 solutions with Romans mass and develops a deformation method for O6-D6 compactifications at first order in F_0.

Findings

Romans mass removes unphysical regions in O6 solutions

Deformation procedure for O6-D6 compactifications established

Numerical analysis supports the existence of localized solutions

Abstract

Orientifold solutions have an unphysical region around their source; for the O6, the singularity is resolved in M-theory by the Atiyah-Hitchin metric. Massive IIA, however, does not admit an eleven-dimensional lift, and one wonders what happens to the O6 there. In this paper, we find evidence for the existence of localized (unsmeared) O6 solutions in presence of Romans mass, in the context of four-dimensional compactifications. As a first step, we show that for generic supersymmetric compactifications, the Bianchi identity for the F_4 RR field follows from constancy of F_0. Using this, we find a procedure to deform any O6-D6 Minkowski compactification at first order in F_0. For a single O6, some of the symmetries of the massless solution are broken, but what is left is still enough to obtain a system of ODEs with as many variables as equations. Numerical analysis indicates that Romans mass makes the unphysical region disappear.