On curvature-squared invariants of minimal five-dimensional supergravity from superspace

Abstract

We elaborate on the off-shell superspace construction of curvature-squared invariants in minimal five-dimensional supergravity. This is described by the standard Weyl multiplet of conformal supergravity coupled to two compensators being a vector multiplet and a linear multiplet. In this set-up, we review the definition of the off-shell two-derivative gauged supergravity together with the three independent four-derivative superspace invariants defined in arXiv:1410.8682. We provide the explicit expression for the linear multiplet based on a prepotential given by the logarithm of the vector multiplet primary superfield. We then present for the first time the primary equations of motion for minimal gauged off-shell supergravity deformed by an arbitrary combination of these three four-derivative locally superconformal invariants. We also identify a four-derivative invariant based on the linear multiplet compensator and the kinetic superfield of a vector multiplet which can be used to engineer an alternative supersymmetric completion of the scalar curvature squared.

arXiv comment35 pages. v2: minor corrections, typos corrected

References in corpus (67)

• Corrections to macroscopic supersymmetric black-hole entropy
• R^4 Couplings in M and Type II Theories
• General matter coupled N=2, D=5 gauged supergravity
• A field-theory motivated approach to symbolic computer algebra
• N=2 supergravity in five dimensions revisited
• Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
• Correlation Functions of Conserved Currents in N = 2 Superconformal Theory
• The Gauging of Five-dimensional, N=2 Maxwell-Einstein Supergravity Theories coupled to Tensor Multiplets
• String loop corrections to the universal hypermultiplet
• Off-shell d=5 Supergravity coupled to Matter-Yang-Mills System
• Superconformal Tensor Calculus in Five Dimensions
• Superconformal N=2, D=5 matter with and without actions
• Higher-derivative couplings in string theory: dualities and the B-field
• N=1 Conformal Superspace in Four Dimensions
• Weyl multiplets of N=2 conformal supergravity in five Dimensions
• Supergravity Tensor Calculus in 5D from 6D
• New higher-derivative invariants in N=2 supergravity and the Gauss-Bonnet term
• New supersymmetric higher-derivative couplings: Full N=2 superspace does not count!
• Supersymmetric Brane World Scenarios from Off-Shell Supergravity
• The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS${}_4$ Holography
• Minimal Off-Shell Supergravity in Five Dimensions
• 5D Supergravity and Projective Superspace
• Conformal supergravity in five dimensions: New approach and applications
• Conformal supergravity in three dimensions: New off-shell formulation
• N=2 Conformal Superspace in Four Dimensions
• On compactified harmonic/projective superspace, 5D superconformal theories, and all that
• Super-Weyl invariance in 5D supergravity
• On Five-dimensional Superspaces
• Anomalous Magnetic Properties of Sr2YRuO6
• Conformal supergravity in three dimensions: Off-shell actions
• Gauged N=2 Off-Shell Supergravity in Five Dimensions
• Harmonic superpotentials and symmetries in gauge theories with eight supercharges
• All Off-Shell R^2 Invariants in Five Dimensional N=2 Supergravity
• Five-dimensional Superfield Supergravity
• Invariants for minimal conformal supergravity in six dimensions
• Corrections to AdS${}_5$ Black Hole Thermodynamics from Higher-Derivative Supergravity
• Off-shell N=2 tensor supermultiplets
• New higher-derivative couplings in 4D N = 2 supergravity
• Construction of all N=4 conformal supergravities
• N=6 superconformal gravity in three dimensions from superspace
• Higher-Derivative Corrections and AdS${}_5$ Black Holes
• Five-dimensional N = 1 AdS superspace: Geometry, off-shell multiplets and dynamics
• N=2 supergravity and supercurrents
• The component structure of conformal supergravity invariants in six dimensions
• Higher Derivative Extension of 6D Chiral Gauged Supergravity
• AdS${}_5$ Holography and Higher-Derivative Supergravity
• On N = 2 supergravity and projective superspace: Dual formulations
• Gauss-Bonnet supergravity in six dimensions
• Higher Derivative Corrections and Central Charges from Wrapped M5-branes
• Off-shell N=(1,0), D=6 supergravity from superconformal methods
• Curvature squared invariants in six-dimensional $\mathcal{N}=(1,0)$ supergravity
• Supersymmetric Completion of Gauss-Bonnet Combination in Five Dimensions
• Off-shell D=5, N=2 Riemann Squared Supergravity
• ABJM at finite $N$ via 4d supergravity
• Non-renormalization theorems and N=2 supersymmetric backgrounds
• N=4 conformal supergravity: the complete actions
• Higher-Derivative Supergravity, Wrapped M5-branes, and Theories of Class $\mathcal{R}$
• Gauge and Non-Gauge Tensor Multiplets in 5D Conformal Supergravity
• On curvature squared terms in N = 2 supergravity
• Superconformal geometries and local twistors
• An off-shell formulation for internally gauged D=5, N=2 supergravity from superconformal methods
• New higher derivative action for tensor multiplet in N=2 conformal supergravity in four dimensions
• Hyper-Dilaton Weyl Multiplets of 5D and 6D Minimal Conformal Supergravity
• Curvature squared action in four dimensional $N=2$ supergravity using the dilaton Weyl multiplet
• Alternative N=2 Supergravity in Five Dimensions with Singularities
• Off-Shell N=2 Linear Multiplets in Five Dimensions
• Conformal $(p,q)$ supergeometries in two dimensions

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