Massive Three-Dimensional Supergravity From R+R^2 Action in Six Dimensions

TL;DR

This paper derives a family of massive supergravity theories in three dimensions from six-dimensional supergravity with curvature squared terms, revealing dualities with string effective actions and extending previous models.

Contribution

It introduces a new three-parameter family of massive N=1 supergravities in three dimensions from six-dimensional origins, including higher-order curvature terms and duality relations.

Findings

Derived 3D massive supergravities from 6D supergravity with R^2 terms.

Established duality between 6D supergravity and heterotic string effective action.

Extended the family of supergravities to eight parameters.

Abstract

We obtain a three-parameter family of massive N=1 supergravities in three dimensions from the 3-sphere reduction of an off-shell N=(1,0) six-dimensional Poincare supergravity that includes a curvature squared invariant. The three-dimensional theory contains an off-shell supergravity multiplet and an on-shell scalar matter multiplet. We then generalise this in three dimensions to an eight-parameter family of supergravities. We also find a duality relationship between the six-dimensional theory and the N=(1,0) six-dimensional theory obtained through a T^4 reduction of the heterotic string effective action that includes the higher-order terms associated with the supersymmetrisation of the anomaly-cancelling \tr(R\wedge R) term.