As on arXiv
Abstract
The perturbative double copy is by now a highly established correspondence between gravity and gauge theories. Non-perturbatively, information ranging from classical solutions to topological quantities on both sides have been related to each other via the double copy correspondence. In this paper, we add another result, where we show that the single copy of the Ricci flow is the Yang-Mills flow on the space of connections of a principal -bundle.
- Submitted
- Feb 20, 2022
- Subjects
- hep-th, gr-qc
Its neighbourhood
Connected papers
The 8 papers on this site closest to this one, judged by the topics they share, the words and phrases in their titles and abstracts, and their authors. They are not its citations, but a map of the work around it. Papers here go back to 2021, plus the canon.
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Aspects of the Classical Double Copy
Topics Physics · Same author Rashid Alawadhi · Shared terms “single copy”, “double copy”, “Mills flow”
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The perturbative Ricci flow in gravity
Topics Physics · Shared terms “perturbative”
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Correspondence between Mean Curvature Flow and Harmonic-Ricci Flow
Topics Physics · Shared terms “correspondence”
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On-Shell Flow
Topics Physics
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Solutions to the Ricci Flow via Einstein Field Equations
Topics Physics · Shared terms “correspondence”
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Entropy and Non-Collapse in Lorentzian Geometry
Topics Physics · Shared terms “correspondence”, “information”
Read around it
Background reading
The guides for the topics of this paper: what each idea is, why it matters, and the papers to read first.
In the guidebook
- 5A.5Uniformization and the Two-Dimensional Ricci Flow
Constant-curvature metrics on surfaces, and Ricci flow as a heat equation for the conformal factor.
- 10A.12Curve Shortening and Minimal Discs
How loops shrink under curvature, how the discs they bound lose area, and Perelman's extinction estimate.
- 11A.1The Equation and Its First Solutions
A heat equation for the metric: spheres, cylinders and scaling.