D=7 / D=6 Heterotic Supergravity with Gauged R-Symmetry

TL;DR

This paper constructs anomaly-free chiral supergravity theories in six dimensions from seven-dimensional models with gauged noncompact R-symmetry, featuring a positive scalar potential suitable for further compactifications.

Contribution

It introduces a new class of D=6 supergravity models derived from D=7 with gauged noncompact R-symmetry, incorporating anomaly cancellation and boundary hypermultiplet coupling.

Findings

Constructed anomaly-free D=6 supergravity models

Achieved positive scalar potential via gauged noncompact R-symmetry

Provided a framework for further compactifications to four dimensions

Abstract

We construct a family of chiral anomaly-free supergravity theories in D=6 starting from D=7 supergravity with a gauged noncompact R-symmetry, employing a Horava-Witten bulk-plus-boundary construction. The gauged noncompact R-symmetry yields a positive (de Sitter sign) D=6 scalar field potential. Classical anomaly inflow which is needed to cancel boundary-field loop anomalies requires careful consideration of the gravitational, gauge, mixed and local supersymmetry anomalies. Coupling of boundary hypermultiplets requires care with the Sp(1) gauge connection required to obtain quaternionic Kahler target manifolds in D=6. This class of gauged R-symmetry models may be of use as starting points for further compactifications to D=4 that take advantage of the positive scalar potential, such as those proposed in the scenario of supersymmetry in large extra dimensions.