Self-dual gravity

2016/10/31 by Kirill Krasnov
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Coupling (piping) #Diffeomorphism #Euclidean quantum gravity #Gravitation #Graviton #Hořava–Lifshitz gravity #Invariant (physics) #Noncommutative and Quantum Gravity Theories #Quantum gravity #Semiclassical gravity #gr-qc #hep-th

paper · pdf · doi:10.1088/1361-6382/aa65e5

published as Class. Quantum Grav. 34 095001, 2017 · v2: published version, minor changes, 28 pages, no figures

openalex created_date 2016/10/14 · openalex publication_date 2017/03/10 · arxiv created 2017/05/05 · arxiv updated 2017/05/08 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• Self-dual sector of QCD amplitudes
• Self-dualN=8supergravity as closedN=2(4)strings
• Effective metric Lagrangians from an underlying theory with two propagating degrees of freedom
• New relations for gauge-theory amplitudes
• Perturbative Gauge Theory As A String Theory In Twistor Space
• Colour-kinematics duality and the Drinfeld double of the Lie algebra of diffeomorphisms
• Einstein Manifolds