Conformal supergravity in five dimensions: New approach and applications

Abstract

We develop a new off-shell formulation for five-dimensional (5D) conformal supergravity obtained by gauging the 5D superconformal algebra in superspace. An important property of the conformal superspace introduced is that it reduces to the superconformal tensor calculus (formulated in the early 2000's) upon gauging away a number of superfluous fields. On the other hand, a different gauge fixing reduces our formulation to the SU(2) superspace of arXiv:0802.3953, which is suitable to describe the most general off-shell supergravity-matter couplings. Using the conformal superspace approach, we show how to reproduce practically all off-shell constructions derived so far, including the supersymmetric extensions of $R^2$ terms, thus demonstrating the power of our formulation. Furthermore, we construct for the first time a supersymmetric completion of the Ricci tensor squared term using the standard Weyl multiplet coupled to an off-shell vector multiplet. In addition, we present several procedures to generate higher-order off-shell invariants in supergravity, including higher-derivative ones. The covariant projective multiplets proposed in arXiv:0802.3953 are lifted to conformal superspace, and a manifestly superconformal action principle is given. We also introduce unconstrained prepotentials for the vector multiplet, the $\mathcal{O}(2)$ multiplet (i.e., the linear multiplet without central charge) and $\mathcal{O}(4+n)$ multiplets, with $n=0,1,\dots$ Superform formulations are given for the BF action and the non-abelian Chern-Simons action. Finally, we describe locally supersymmetric theories with gauged central charge in conformal superspace.

arXiv comment126 pages; V2: published version

References in corpus (68)

• All supersymmetric solutions of minimal supergravity in five dimensions
• General matter coupled N=2, D=5 gauged supergravity
• 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
• Off-shell d=5 Supergravity coupled to Matter-Yang-Mills System
• Supergravity couplings: a geometric formulation
• Superconformal Tensor Calculus in Five Dimensions
• Superconformal N=2, D=5 matter with and without actions
• N=1 Conformal Superspace in Four Dimensions
• Weyl multiplets of N=2 conformal supergravity in five Dimensions
• Supergravity Tensor Calculus in 5D from 6D
• Off-shell supergravity-matter couplings in three dimensions
• 4D N = 2 Supergravity and Projective Superspace
• New higher-derivative invariants in N=2 supergravity and the Gauss-Bonnet term
• Supersymmetric Brane World Scenarios from Off-Shell Supergravity
• Projective Superspace as a Double--Punctured Harmonic Superspace
• Component Actions from Curved Superspace: Normal Coordinates and Ectoplasm
• Minimal Off-Shell Supergravity in Five Dimensions
• On conformal supergravity and projective superspace
• 5D Supergravity and Projective Superspace
• Feynman Rules in N=2 Projective Superspace I: Massless hypermultiplets
• 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
• Feynman rules in N=2 projective Superspace II: Massive hypermultiplets
• On superconformal projective hypermultiplets
• 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
• New higher-derivative couplings in 4D N = 2 supergravity
• Off-shell superconformal nonlinear sigma-models in three dimensions
• Six-dimensional Supergravity and Projective Superfields
• N=6 superconformal gravity in three dimensions from superspace
• Five-dimensional N = 1 AdS superspace: Geometry, off-shell multiplets and dynamics
• N=2 AdS supergravity and supercurrents
• On N = 2 supergravity and projective superspace: Dual formulations
• Near-horizon analysis of D=5 BPS black holes and rings
• Effective action of N = 4 super Yang-Mills: N = 2 superspace approach
• Component reduction in N=2 supergravity: the vector, tensor, and vector-tensor multiplets
• Supersymmetric Completion of Gauss-Bonnet Combination in Five Dimensions
• N=6 conformal supergravity in three dimensions
• Off-shell D=5, N=2 Riemann Squared Supergravity
• Conformal supergravities as Chern-Simons theories revisited
• Symmetries of curved superspace in five dimensions
• 2D N=(4,4) superspace supergravity and bi-projective superfields
• Five-dimensional supersymmetric Chern-Simons action as a hypermultiplet quantum correction
• The three-form multiplet in N=2 superspace
• Gauge and Non-Gauge Tensor Multiplets in 5D Conformal Supergravity
• The linear multiplet and ectoplasm
• A new approach to curved projective superspace
• Supergravity-matter actions in three dimensions and Chern-Simons terms
• An off-shell formulation for internally gauged D=5, N=2 supergravity from superconformal methods
• Nonlinear sigma models with AdS supersymmetry in three dimensions
• On 2D N=(4,4) superspace supergravity
• On supersymmetric Chern-Simons-type theories in five dimensions
• N=4 supersymmetric Yang-Mills theories in AdS_3
• Alternative N=2 Supergravity in Five Dimensions with Singularities
• New extended superconformal sigma models and Quaternion Kahler manifolds
• Superform formulation for vector-tensor multiplets in conformal supergravity
• Variant vector-tensor multiplets in supergravity: Classification and component reduction
• Projective multiplets and hyperkahler cones in conformal supergravity

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• Corrections to AdS${}_5$ Black Hole Thermodynamics from Higher-Derivative Supergravity
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• The component structure of conformal supergravity invariants in six dimensions
• AdS${}_5$ Holography and Higher-Derivative Supergravity
• Gauss-Bonnet supergravity in six dimensions
• Curvature squared invariants in six-dimensional $\mathcal{N}=(1,0)$ supergravity
• Higher Derivative Supergravities in Diverse Dimensions
• $N=2$ dilaton Weyl multiplet in 4D supergravity
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• Goldstino superfields in N=2 supergravity
• On curvature squared terms in N = 2 supergravity
• Boundary terms and conserved charges in higher-derivative gauged supergravity
• Superconformal geometries and local twistors
• The anomalous current multiplet in 6D minimal supersymmetry
• On curvature-squared invariants of minimal five-dimensional supergravity from superspace
• On conformal supergravity and harmonic superspace
• 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
• Comment on "The N = 3 Weyl Multiplet in Four Dimensions"
• New locally (super)conformal gauge models in Bach-flat backgrounds
• Improved Reall-Santos method for AdS black holes in general 4-derivative gravities
• New Fayet-Iliopoulos terms in $\mathcal{N}=2$ supergravity
• Off-Shell N=2 Linear Multiplets in Five Dimensions
• Conformal $(p,q)$ supergeometries in two dimensions
• Five-dimensional Supergravity in N = 1/2 Superspace
• Effective actions in $\mathcal{N}$=1, D5 supersymmetric gauge theories: harmonic superspace approach
• New superconformal multiplets and higher derivative invariants in six dimensions
• Superforms in Five-Dimensional, $N=1$ Superspace
• The anti-de Sitter supergeometry revisited
• Symmetries of $\mathcal{N}=(1,0)$ supergravity backgrounds in six dimensions
• N=2 conformal supergravity in five dimensions
• All Chern-Simons Invariants of 4D, N = 1 Gauged Superform Hierarchies
• Local supertwistors and conformal supergravity in six dimensions
• $\mathcal{N}=2$ super Yang-Mills theory in Projective Superspace
• Spinorial geometry, off-shell Killing spinor identities and higher derivative 5D supergravities
• Force-free higher derivative Einstein-Maxwell theory and multi-centered black holes
• Non-conformal supercurrents in six dimensions
• Proving the 6d Cardy Formula and Matching Global Gravitational Anomalies
• $\mathcal{N}=2$ dilaton-Weyl multiplets in 5D and Nishino-Rajpoot supergravity off-shell
• Black hole thermodynamics at 4 derivatives, natural variables and BPS limits
• Six-dimensional $\mathcal{N}=(2,0)$ Conformal Superspace
• Counterpart of the Weyl tensor for Rarita-Schwinger type fields
• Dynamical Implementation of the Constraints in Conformal Gravity
• On five-dimensional curvature squared supergravity and holography
• Supersymmetric Yang-Mills theory on conformal supergravity backgrounds in ten dimensions
• Hyper-Dilaton Weyl Multiplet of 4D, $\mathcal{N}=2$ Conformal Supergravity