Twistor Actions for Self-Dual Supergravities

Abstract

We give holomorphic Chern-Simons-like action functionals on supertwistor space for self-dual supergravity theories in four dimensions, dealing with N=0,...,8 supersymmetries, the cases where different parts of the R-symmetry are gauged, and with or without a cosmological constant. The gauge group is formally the group of holomorphic Poisson transformations of supertwistor space where the form of the Poisson structure determines the amount of R-symmetry gauged and the value of the cosmological constant. We give a formulation in terms of a finite deformation of an integrable \dbar-operator on a supertwistor space, i.e., on regions in CP^{3|8}. For N=0, we also give a formulation that does not require the choice of a background.

v2: 29 pages, substantially revised and rewritten with a clearer and more complete treatment, an extra 8 pages, replaced with version to appear in CMP

References in corpus (29)

• Perturbative Gauge Theory As A String Theory In Twistor Space
• Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes
• An Alternative String Theory in Twistor Space for N=4 Super-Yang-Mills
• Conformal Supergravity in Twistor-String Theory
• Is N = 8 Supergravity Ultraviolet Finite?
• Ultraviolet properties of Maximal Supergravity
• Supersymmetric Gauge Theories in Twistor Space
• From Twistor Actions to MHV Diagrams
• Twistor actions for non-self-dual fields; a new foundation for twistor-string theory
• The No-Triangle Hypothesis for N=8 Supergravity
• Self-Dual N=8 Supergravity as Closed N=2(4) Strings
• An ambitwistor Yang-Mills Lagrangian
• Majorana-Weyl Spinors and Self-Duality Gauge Fields in 2+2 Dimensions
• Heterotic twistor-string theory
• The Topological B-model on a Mini-Supertwistor Space and Supersymmetric Bogomolny Monopole Equations
• Extended Supersymmetry and Self-Duality in 2+2 Dimensions
• Topological B-Model on Weighted Projective Spaces and Self-Dual Models in Four Dimensions
• An action for N=4 supersymmetric self-dual Yang-Mills theory
• Supersymmetric Self-Dual Yang-Mills and Supergravity as Background of Green-Schwarz Superstring
• Self-Dual Supergravity and Twistor Theory
• The Topological B-Model on Fattened Complex Manifolds and Subsectors of N=4 Self-Dual Yang-Mills Theory
• Matrix Models and D-branes in Twistor String Theory
• Self-Dual Supergravity Theories in 2+2 Dimensions
• A Note on Graviton Amplitudes for New Twistor String Theories
• Einstein Supergravity and New Twistor String Theories
• A Chiral Perturbation Expansion for Gravity
• An action of N=8 self-dual supergravity in ultra-hyperbolic harmonic superspace
• Aspects of Twistor Geometry and Supersymmetric Field Theories within Superstring Theory
• Counterterms, Holonomy and Supersymmetry

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• Gravity in Twistor Space and its Grassmannian Formulation
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• Twistor Strings for N=8 Supergravity
• Explicit Action of E7(7) on N=8 Supergravity Fields
• Self-Dual Gravity
• The Celestial Chiral Algebra of Self-Dual Gravity on Eguchi-Hanson Space
• A First Course on Twistors, Integrability and Gluon Scattering Amplitudes
• Einstein supergravity amplitudes from twistor-string theory
• N=8 Supergravity on the Light Cone
• Graviton scattering in self-dual radiative space-times
• Twistor Constructions for Higher-spin Extensions of (Self-dual) Yang-Mills
• On the associativity of 1-loop corrections to the celestial operator product in gravity
• Gravity with a cosmological constant from rational curves
• Double-Copying Self-Dual Yang-Mills Theory to Self-Dual Gravity on Twistor Space
• Higher-Spin Self-Dual Yang-Mills and Gravity from the twistor space
• Conformal Higher Spin Theory and Twistor Space Actions
• Quantizing the non-linear graviton
• Twistor actions for gauge theory and gravity
• Twistor-strings and gravity tree amplitudes
• The 4d/2d correspondence in twistor space and holomorphic Wilson lines
• Contact Manifolds, Contact Instantons, and Twistor Geometry
• Instantons, Twistors, and Emergent Gravity
• A Twistorial Description of the IKKT-Matrix Model
• Pure Connection Formulation, Twistors and the Chase for a Twistor Action for General Relativity
• Twistor fishnets
• Holonomies of gauge fields in twistor space 2: Hecke algebra, diffeomorphism, and graviton amplitudes
• Supersymmetric Yang-Mills and Supergravity Amplitudes at One Loop
• Twistors, strings and supersymmetric gauge theories
• Twistor action for general relativity
• Twistors, Harmonics and Holomorphic Chern-Simons
• New first order Lagrangian for General Relativity
• Lectures on twistor theory
• Explicit Non-Abelian Gerbes with Connections
• Quantizing local holomorphic field theories on twistor space
• Ambitwistor Yang-Mills Theory Revisited