Self-Dual Gravity

Abstract

Self-dual gravity is a diffeomorphism invariant theory in four dimensions that describes two propagating polarisations of the graviton and has a negative mass dimension coupling constant. Nevertheless, this theory is not only renormalisable but quantum finite, as we explain. We also collect various facts about self-dual gravity that are scattered across the literature.

v2: published version, minor changes, 28 pages, no figures

References in corpus (7)

• New Relations for Gauge-Theory Amplitudes
• The Kinematic Algebra From the Self-Dual Sector
• New Action Principle for General Relativity
• Twistor Actions for Self-Dual Supergravities
• Colour-Kinematics duality and the Drinfeld double of the Lie algebra of diffeomorphisms
• Weighted Laplacians, cocycles and recursion relations
• One-loop beta-function for an infinite-parameter family of gauge theories

Cited by in corpus (27)

• Quantum Chiral Higher Spin Gravity
• Light-Front Bootstrap for Chern-Simons Matter Theories
• Actions for Self-dual Higher Spin Gravities
• Chiral approach to massive higher spins
• Black Holes in Klein Space
• 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
• Flat Self-dual Gravity
• Minimal models of field theories: Chiral Higher Spin Gravity
• 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
• Higher-spin Yang-Mills, amplitudes and self-duality
• Gravity generated by four one-dimensional unitary gauge symmetries and the Standard Model
• Minimal models of field theories: SDYM and SDGR
• One-loop same helicity YM amplitudes from BG currents
• Celestial self-dual Yang-Mills theory: a new formula and the OPE limit
• Constraining higher-spin S-matrices
• Hidden sectors of Chern-Simons Matter theories and Exact Holography
• One-loop same helicity four-point amplitude from shifts
• Deformations of GR, Geometrodynamics and Reality Conditions
• Pure Lorentz spin connection theories and uniqueness of General Relativity
• Chiral perturbation theory for GR
• A pure connection formulation with real fields for Gravity
• All actions for free massive higher-spin fields
• Notes on self-dual gravity
• Ultraviolet Properties of the Self-Dual Yang-Mills Theory
• Integrability of anti-self-dual vacuum Einstein equations with nonzero cosmological constant: an infinite hierarchy of nonlocal conservation laws