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

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.

Latex, 32 Pages, an equation is corrected, a few new equations and a number of clarifying remarks are added

References in corpus (8)

• Massive Gravity in Three Dimensions
• Chiral Gravity in Three Dimensions
• Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
• Massive 3D Supergravity
• Consistent Truncation to Three Dimensional (Super-)gravity
• Witten-Nester Energy in Topologically Massive Gravity
• 3D gauged supergravity from SU(2) reduction of $N=1$ 6D supergravity
• On M-Theory Embedding of Topologically Massive Gravity

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• Higher Derivative Extension of 6D Chiral Gauged Supergravity
• Off-shell N=(1,0), D=6 supergravity from superconformal methods
• D=7 / D=6 Heterotic Supergravity with Gauged R-Symmetry
• On Hybrid (Topologically) Massive Supergravity in Three Dimensions
• Rotating Strings in Six-Dimensional Higher-Derivative Supergravity
• Spectrum of Higher Derivative 6D Chiral Supergravity
• Bertotti-Robinson solutions in five--dimensional quadratic gravity
• Gravitational and Yang-Mills instantons in holographic RG flows