Gauged N=2 Supergravity in Nine-Dimensions and Domain Wall Solutions

TL;DR

This paper constructs a comprehensive nine-dimensional massive N=2 supergravity theory with SO(2) gauging, featuring a positive scalar potential and analyzing 7-brane domain wall solutions for stability and supersymmetry.

Contribution

It provides the first full Lagrangian and transformation rules for this supergravity with three arbitrary mass parameters, expanding the landscape of gauged supergravity models.

Findings

Scalar potential is positive definite for all mass parameters.

The theory admits stable 7-brane domain wall solutions.

Supersymmetry is preserved in certain domain wall configurations.

Abstract

We present massive N=2 supergravity with SO(2)-gauging in nine-dimensions by direct construction. A full lagrangian and transformation rules are fixed, respectively up to quartic and quadratic fermion terms. Corresponding to the generalized Scherk-Schwarz dimensional reduction utilizing SL(2,R) symmetry, this theory allows three arbitrary mass parameters m_0, m_1and m_2 in addition to the minimal gauge coupling g, so that our system has the most general form compared with other results in the past. Unlike ordinary gauged maximal supergravity theories in other dimensions, the scalar potential is positive definite for arbitrary values of the mass parameters. As an application, we also analyze the stability and supersymmetry for 7-brane domain wall solutions for this gauged maximal supergravity, keeping the three mass parameters.