The single copy of the gravitational holonomy
arXiv:2107.01114 · doi:10.1007/JHEP10(2021)229
Abstract
The double copy is a well-established relationship between gravity and gauge theories. It relates perturbative scattering amplitudes as well as classical solutions, and recently there has been mounting evidence that it also applies to non-perturbative information. In this paper, we consider the holonomy properties of manifolds in gravity and prescribe a single copy of gravitational holonomy that differs from the holonomy in gauge theory. We discuss specific cases and give examples where the single copy holonomy group is reduced. Our results may prove useful in extending the classical double copy. We also clarify previous misconceptions in the literature regarding gravitational Wilson lines and holonomy.
31 pages, 2 figures
References in corpus (17)
- New Relations for Gauge-Theory Amplitudes
- Black holes and the double copy
- Evidence for a New Soft Graviton Theorem
- The Kinematic Algebra From the Self-Dual Sector
- Path integral approach to eikonal and next-to-eikonal exponentiation
- Soft sub-leading divergences in Yang-Mills amplitudes
- A Twistorial Foundation for the Classical Double Copy
- A worldsheet for Kerr
- Next-to-soft corrections to high energy scattering in QCD and gravity
- Double Copy from Homotopy Algebras
- Extended solutions for the biadjoint scalar field
- From Scattering Amplitudes to Classical Physics: Universality, Double Copy and Soft Theorems
- Four-point Amplitudes in N=8 Supergravity and Wilson Loops
- Color-Kinematics Duality and the Regge Limit of Inelastic Amplitudes
- Twistor Space Origins of the Newman-Penrose Map
- Gravitational Wilson Loop and Large Scale Curvature
- Holonomy groups of Lorentzian manifolds
Cited by in corpus (9)
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- Non-perturbative aspects of the self-dual double copy
- Aligned Fields Double Copy to Kerr-NUT-(A)dS
- Tree-Level Color-Kinematics Duality Implies Loop-Level Color-Kinematics Duality up to Counterterms
- Quantization Conditions and the Double Copy
- The Radial Action from Probe Amplitudes to All Orders
- NS-NS Spacetimes from Amplitudes