English

Single copy of the Ricci flow

High Energy Physics - Theory 2022-02-22 v1 General Relativity and Quantum Cosmology

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 U(1)\text{U}(1)-bundle.

Keywords

Cite

@article{arxiv.2202.09874,
  title  = {Single copy of the Ricci flow},
  author = {Rashid Alawadhi},
  journal= {arXiv preprint arXiv:2202.09874},
  year   = {2022}
}