Higher Derivative Supergravities in Diverse Dimensions

Abstract

We survey on-shell and off-shell higher derivative supergravities in dimensions $1\le D\le 11$. Various approaches to their construction, including the Noether procedure, (harmonic) superspace, superform method, superconformal tensor calculus, $S$-matrix and dimensional reduction, are summarized. Primarily the bosonic parts of the invariants and the supertransformations of the fermionic fields are provided. The process of going on-shell, solutions to the Killing spinor equations, typical supersymmetric solutions, and the role of duality symmetries in the context of $R^4,D^4{R}^4$ and $D^6{R}^4$ invariants are reviewed.

arXiv comment156 pages, discussions and references added, typos fixed. Version to appear in Physics Reports

References in corpus (290)

• f(R) theories
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Black Hole Entropy is Noether Charge
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• String Theory Dynamics In Various Dimensions
• The Holographic Weyl anomaly
• Unity of Superstring Dualities
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• The Swampland: Introduction and Review
• All supersymmetric solutions of minimal supergravity in five dimensions
• Super-Poincare Covariant Quantization of the Superstring
• Conformal collider physics: Energy and charge correlations
• Black Hole Entropy in M-Theory
• D--branes and Spinning Black Holes
• Causality Constraints on Corrections to the Graviton Three-Point Coupling
• What is the Simplest Quantum Field Theory?
• Noncompact Symmetries in String Theory
• The String Landscape and the Swampland
• Rigid Supersymmetric Theories in Curved Superspace
• On graviton non-Gaussianities during inflation
• On the Relationship between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences
• Chiral Gravity in Three Dimensions
• Eleven Dimensional Origin of String/String Duality: A One Loop Test
• Effects of D-instantons
• Double Field Theory: A Pedagogical Review
• Superconformal generalizations of the Starobinsky model
• Corrections to macroscopic supersymmetric black-hole entropy
• One loop in eleven dimensions
• The Spacetime of Double Field Theory: Review, Remarks, and Outlook
• The Ultraviolet Behavior of N=8 Supergravity at Four Loops
• A One-Loop Test Of String Duality
• Three-Algebras and N=6 Chern-Simons Gauge Theories
• Supersymmetry Constraints on Type IIB Supergravity
• Microscopic Black Hole Entropy in Theories with Higher Derivatives
• Holographic Gravitational Anomalies
• The EFT-Hedron
• The Minimal Volkov - Akulov - Starobinsky Supergravity
• On $R^4$ threshold corrections in IIB string theory and (p,q) string instantons
• All supersymmetric solutions of minimal supergravity in six dimensions
• The Heterotic String is a Soliton
• D-instantons, Strings and M-theory
• Duality and higher derivative terms in M theory
• On the Starobinsky Model of Inflation from Supergravity
• Conformal Supergravity in Twistor-String Theory
• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• Causality of Holographic Hydrodynamics
• STRING STRING DUALITY CONJECTURE IN SIX DIMENSIONS AND CHARGED SOLITONIC STRINGS
• Two loops in eleven dimensions
• Macroscopic entropy formulae and non-holomorphic corrections for supersymmetric black holes
• Supersymmetry on Curved Spaces and Holography
• Doubled α'-Geometry
• Sharp Boundaries for the Swampland
• Causality constraints in AdS/CFT from conformal collider physics and Gauss-Bonnet gravity
• N=2 supergravity in five dimensions revisited
• Manifest Ultraviolet Behavior for the Three-Loop Four-Point Amplitude of N=8 Supergravity
• The effective field theory treatment of quantum gravity
• Exploring Curved Superspace
• ICTP Lectures on Covariant Quantization of the Superstring
• Proof of the Weak Gravity Conjecture from Black Hole Entropy
• Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
• Low-Energy Analysis of $M$ and $F$ Theories on Calabi-Yau Threefolds
• Generating Tree Amplitudes in N=4 SYM and N=8 SG
• A Stringy Cloak for a Classical Singularity
• AdS_7/CFT_6, Gauss-Bonnet Gravity, and Viscosity Bound
• Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
• The Ultraviolet Properties of N=4 Supergravity at Four Loops
• The Weak Gravity Conjecture: A Review
• R^4 terms in 11 dimensions and conformal anomaly of (2,0) theory
• E7(7) constraints on counterterms in N=8 supergravity
• Low energy expansion of the four-particle genus-one amplitude in type II superstring theory
• Ultraviolet Properties of N = 8 Supergravity at Five Loops
• Supersymmetric higher-derivative actions in ten and eleven dimensions, the associated superalgebras and their formulation in superspace
• Massive 3D Supergravity
• (N,p,q) Harmonic Superspace
• Locally supersymmetric D=3 non-linear sigma models
• Gauged locally supersymmetric D=3 nonlinear sigma models
• T-duality and ${\alpha }^{\prime }$-corrections
• On the modular structure of the genus-one Type II superstring low energy expansion
• Superconformal Tensor Calculus in Five Dimensions
• Quantum Gravity Constraints from Unitarity and Analyticity
• Double Field Theory at Order ${\alpha }^{\prime }$
• Superconformal N=2, D=5 matter with and without actions
• R^4, purified
• Higher Derivative Corrections to Non-supersymmetric Extremal Black Holes in N=2 Supergravity
• Higher-derivative couplings in string theory: dualities and the B-field
• Heterotic - type I superstring duality and low-energy effective actions
• Weyl multiplets of N=2 conformal supergravity in five Dimensions
• On Subleading Contributions to the AdS/CFT Trace Anomaly
• Automorphic properties of low energy string amplitudes in various dimensions
• Minimal Massive 3D Gravity
• Non-renormalisation Conditions in Type II String Theory and Maximal Supergravity
• Classification of N=6 superconformal theories of ABJM type
• Supergravity Tensor Calculus in 5D from 6D
• String theory dualities and supergravity divergences
• Conformal Gravity and Extensions of Critical Gravity
• Eisenstein Series and String Thresholds
• On Brillouin Zones
• String Theory Effects on Five-Dimensional Black Hole Physics
• New higher-derivative invariants in N=2 supergravity and the Gauss-Bonnet term
• Spinorial cohomology and maximally supersymmetric theories
• Higher-Order Black-Hole Solutions in N=2 Supergravity and Calabi-Yau String Backgrounds
• Positivity of Curvature-Squared Corrections in Gravity
• The vanishing volume of D=4 superspace
• Integral invariants in N=4 SYM and the effective action for coincident D-branes
• The structure of maximally supersymmetric Yang-Mills theory: constraining higher-order corrections
• Sixteen-fermion and related terms in M-theory on T**2
• The General Supersymmetric Solution of Topologically Massive Supergravity
• A simple approach to counterterms in N=8 supergravity
• The Supersymmetric Effective Action of the Heterotic String in Ten Dimensions
• The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS${}_4$ Holography
• Component Actions from Curved Superspace: Normal Coordinates and Ectoplasm
• Hidden symmetries and the fermionic sector of eleven-dimensional supergravity
• Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
• On duality symmetries of supergravity invariants
• Manifestly supersymmetric M-theory
• E7(7) symmetry in perturbatively quantised N=8 supergravity
• Weyl Superspace
• Supersymmetry in Lorentzian Curved Spaces and Holography
• Conformal supergravity in five dimensions: New approach and applications
• The Odd story of ${\alpha }^{\prime }$-corrections
• Higher Order Corrections in Minimal Supergravity Models of Inflation
• 5D Black Holes and Strings with Higher Derivatives
• On the exact quartic effective action for the type IIB superstring
• Higher-Derivative Chiral Superfield Actions Coupled to N=1 Supergravity
• $R^4$ couplings and automorphic unipotent representations
• On tree-level higher order gravitational couplings in superstring theory
• Higher order M theory corrections and the Kac-Moody algebra E10
• The M-Theory S-Matrix From ABJM: Beyond 11D Supergravity
• A note on non-perturbative R^4 couplings
• Extended Supersymmetry on Curved Spaces
• Small representations, string instantons, and Fourier modes of Eisenstein series (with an appendix by D. Ciubotaru and P. Trapa)
• Area law corrections from state counting and supergravity
• All solutions of the localization equations for N=2 quantum black hole entropy
• Conformal supergravity in three dimensions: Off-shell actions
• Higher derivative effects on eta/s at finite chemical potential
• Emerging Potentials in Higher-Derivative Gauged Chiral Models Coupled to N=1 Supergravity
• Supersymmetric Corrections to Eleven-Dimensional Supergravity
• On a supersymmetric completion of the R^4 term in IIB supergravity
• BPS Black Holes
• F^4 Terms in N=4 String Vacua
• The One-Loop Five-Graviton Amplitude and the Effective Action
• All Off-Shell R^2 Invariants in Five Dimensional N=2 Supergravity
• Precision Entropy of Spinning Black Holes
• Effective action of type II superstring theories at order ${\alpha }^{\prime 3}$: NS-NS couplings
• Eisenstein series and automorphic representations
• Modular properties of two-loop maximal supergravity and connections with string theory
• (2,0) Tensor Multiplets and Conformal Supergravity in D=6
• Invariants for minimal conformal supergravity in six dimensions
• Counterterms/M-theory Corrections to D=11 Supergravity
• Corrections to AdS${}_5$ Black Hole Thermodynamics from Higher-Derivative Supergravity
• Rigid supersymmetric theories in 4d Riemannian space
• Ectoplasm Has No Topology
• Off-shell N=2 tensor supermultiplets
• 5D Attractors with Higher Derivatives
• Construction of all N=4 conformal supergravities
• More on Massive 3D Supergravity
• Loops in exceptional field theory
• Tree Amplitudes and Two-loop Counterterms in D=11 Supergravity
• N=6 superconformal gravity in three dimensions from superspace
• Light-cone Quantum Mechanics of the Eleven-dimensional Superparticle
• Graviton partial waves and causality in higher dimensions
• Rigid Supersymmetric Backgrounds of Minimal Off-Shell Supergravity
• The footprint of E7 in amplitudes of N=8 supergravity
• On higher-order corrections in M theory
• $D^6{R}^4$ amplitudes in various dimensions
• Constraining Higher Derivative Supergravity with Scattering Amplitudes
• The component structure of conformal supergravity invariants in six dimensions
• AdS${}_5$ Holography and Higher-Derivative Supergravity
• Higher Derivative Extension of 6D Chiral Gauged Supergravity
• Duality Invariance and Higher Derivatives
• ${\alpha }^{\prime }$-corrected black holes in String Theory
• Integrability and Canonical Structure of d=2, N=16 Supergravity
• Higher Derivative Corrections to Eleven Dimensional Supergravity via Local Supersymmetry
• On SO(32) heterotic - type I superstring duality in ten dimensions
• Near-horizon analysis of D=5 BPS black holes and rings
• The Superconformal Gaugings in Three Dimensions
• Examples of stationary BPS solutions in N=2 supergravity theories with R^2-interactions
• Gauss-Bonnet supergravity in six dimensions
• On the extremality bound of stringy black holes
• Higher Derivative Corrections and Central Charges from Wrapped M5-branes
• O(D,D) and the string ${\alpha }^{\prime }$ expansion: An obstruction
• Exotic Massive 3D Gravity
• The ${\hat{G}}^4{\lambda }^{16}$ Term in IIB Supergravity
• Toward the Determination of R^3F^2 Terms in M-theory
• Coupling of branes and normalization of effective actions in string/M-theory
• On a family of ${\alpha }^{\prime }$-corrected solutions of the Heterotic Superstring effective action
• Minimal unitary representations from supersymmetry
• ABJM at Strong Coupling from M-theory, Localization, and Lorentzian Inversion
• Off-shell N=(1,0), D=6 supergravity from superconformal methods
• Two Two-Dimensional Supergravity Theories from Calabi-Yau Four-Folds
• Curvature squared invariants in six-dimensional $\mathcal{N}=(1,0)$ supergravity
• Supersymmetric Completion of Gauss-Bonnet Combination in Five Dimensions
• N=6 conformal supergravity in three dimensions
• Topologically gauged superconformal Chern-Simons matter theories
• Off-shell D=5, N=2 Riemann Squared Supergravity
• On Maximal Massive 3D Supergravity
• Beyond the near-horizon limit: Stringy corrections to Heterotic Black Holes
• Curvature corrections and Kac-Moody compatibility conditions
• Counterterms in type I Supergravities
• Duality in String Theory
• O(n,n) invariance and Wald entropy formula in the Heterotic Superstring effective action at first order in alpha'
• General String Cosmologies at Order ${\alpha }^{\prime }{}^3$
• The Third Way to 3D Gravity
• Consistent and covariant anomalies in six-dimensional supergravity
• The two D6R4 type invariants and their higher order generalisation
• Multiparticle Factorization and the Rigidity of String Theory
• Killing Spinor Identities
• Three-dimensional topologically gauged N=6 ABJM type theories
• Supersymmetric Warped AdS in Extended Topologically Massive Supergravity
• N=4 conformal supergravity: the complete actions
• A note on the quartic effective action of type IIB superstring
• Rigid 4D N=2 supersymmetric backgrounds and actions
• The Ramond-Ramond sector of string theory beyond leading order
• Critical and Non-Critical Einstein-Weyl Supergravity
• The SAGEX Review on Scattering Amplitudes, Chapter 10: Selected topics on modular covariance of type IIB string amplitudes and their $\mathcal{N}=4$ supersymmetric Yang-Mills duals
• Three-dimensional N=8 conformal supergravity and its coupling to BLG M2-branes
• Four-Dimensional Higher-Derivative Supergravity and Spontaneous Supersymmetry Breaking
• An SL(2,Z) anomaly in IIB supergravity and its F-theory interpretation
• $R^n$ Extension of Starobinsky Model in Old Minimal Supergravity
• Tensor Multiplets in Six-Dimensional (2,0) Supergravity
• The D^{10} R^4 term in type IIB string theory
• Higher-derivative gauge field terms in the M-theory action
• Massive N=2 Supergravity in Three Dimensions
• Consistent Truncation to Three Dimensional (Super-)gravity
• The One-Loop H^2R^3 and H^2(DH)^2R Terms in the Effective Action
• On NS-NS couplings at order ${\alpha }^{\prime 3}$
• The cohomology of superspace, pure spinors and invariant integrals
• Eisenstein series for infinite-dimensional U-duality groups
• Supersymmetry, T-duality and Heterotic ${\alpha }^{\prime }$-corrections
• Supergravity divergences, supersymmetry and automorphic forms
• On curvature-squared invariants of minimal five-dimensional supergravity from superspace
• R^4 corrections to conifolds and G_2 holonomy metrics
• The D^{2k} R^4 Invariants of N=8 Supergravity
• An off-shell formulation for internally gauged D=5, N=2 supergravity from superconformal methods
• The D^6 R^4 term from three loop maximal supergravity
• Non-Renormalization For Non-Supersymmetric Black Holes
• Type IIA and Heterotic String Vacua in D=2
• Supervertices and Non-renormalization Conditions in Maximal Supergravity Theories
• Critical solutions in topologically gauged N=8 CFTs in three 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
• Improved Wald formalism and First Law of Dyonic Black Strings with Mixed Chern-Simons Terms
• N = 3 Conformal Supergravity in Four Dimensions
• Graviton-Form Invariants in D=11 Supergravity
• Type II and heterotic one loop string effective actions in four dimensions
• 11D supergravity at $\mathcal{O}(l^3)$
• $O(9,9)$ symmetry of NS-NS couplings at order ${\alpha }^{\prime 3}$
• Negative Corrections to Black Hole Entropy from String Theory
• T-duality and hints of generalized geometry in string ${\alpha }^{\prime }$ corrections
• Supersymmetric solutions of $N=(2,0)$ Topologically Massive Supergravity
• On the supersymmetric solutions of the Heterotic Superstring effective action
• Kerr-Newman Black Holes with String Corrections
• Topological Mass Generation in Three-Dimensional String Theory
• 1/8-BPS Couplings and Exceptional Automorphic Functions
• The ${\alpha }^{\prime 2}$ correction from double field theory
• On small black holes, KK monopoles and solitonic 5-branes
• Four dimensional "old minimal" N=2 supersymmetrization of R^4
• 3D Born-Infeld Gravity and Supersymmetry
• Non-Minimal String Corrections And Supergravity
• Dualization of Higher Derivative Heterotic Supergravities in $6D$ and $10D$
• Coupling of the BLG theory to a conformal supergravity background
• Higher derivative invariants in four dimensional N=3 Poincare supergravity
• Four dimensional R^4 superinvariants through gauge completion
• The supersymmetric version of the Green--Schwarz anomaly cancellation mechanism
• Rotating Strings in Six-Dimensional Higher-Derivative Supergravity
• Supersymmetric Backgrounds and Black Holes in $\mathcal{N}=(1,1)$ Cosmological New Massive Supergravity
• Attractor Mechanism and Non-Renormalization Theorem in 6D (1,0) Supergravity
• Duality in N=1, D=10 Superspace and Supergravity with Tree Level Superstring Corrections
• Higher derivative couplings of hypermultiplets
• Supersymmetric Solutions of N = (1,1) General Massive Supergravity
• N = 1, D = 6 Supergravity: Duality and non Minimal Couplings
• Dimensional reduction of higher derivative heterotic supergravity
• Stationary Lifshitz black holes of R^2-corrected gravity theory
• Supersymmetric Asymptotic AdS and Lifshitz Solutions in Einstein-Weyl and Conformal Supergravities
• Two-Dimensional Higher-Derivative Supergravity and a New Mechanism for Supersymmetry Breaking
• Superspace formulations of ten-dimensional supergravity
• Quantum properties of the heterotic five-brane
• Gyrating Schrodinger Geometries and Non-Relativistic Field Theories
• Minimal Massive Supergravity
• Spectrum of Higher Derivative 6D Chiral Supergravity
• Dual Supergravity in D=10, N=1 Superspace with Tree-Level Superstring Corrections
• Spinorial geometry, off-shell Killing spinor identities and higher derivative 5D supergravities
• On Topologically Massive Gravity with Extended Supersymmetry
• String Corrected Supergravity; A Complete and Consistent Non-Minimal Solution
• Fivebrane Lagrangian with Loop Corrections in Field-Theory Limit
• Complete superspace classification of three-dimensional Chern-Simons-matter theories coupled to supergravity
• Supersymmetric Solutions in Four-Dimensional Off-Shell Curvature-Squared Supergravity
• Superinvariants Below Critical Loop Order
• On the lagrangian of N=1, D=10 dual supergravity

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• Higher-derivative Heterotic Kerr-Sen Black Holes
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• Consistent Four-derivative Heterotic Truncations and the Kerr-Sen Solution
• Six-dimensional $\mathcal{N}=(2,0)$ Conformal Superspace
• Symmetries of non-maximal supergravities with higher-derivative corrections
• On five-dimensional curvature squared supergravity and holography
• Holographic origin of $a$-maximization and higher-derivative AdS${}_5$/CFT${}_4$