English

Soliton metrics for two-loop renormalization group flow on 3D unimodular Lie groups

Differential Geometry 2017-06-21 v2 Mathematical Physics math.MP

Abstract

The two-loop renormalization group flow is studied via the induced bracket flow on 3D unimodular Lie groups. A number of steady solitons are found. Some of these steady solitons come from maximally symmetric metrics that are steady, shrinking, or expanding solitons under Ricci flow, while others are not obviously related to Ricci flow solitons.

Keywords

Cite

@article{arxiv.1510.06136,
  title  = {Soliton metrics for two-loop renormalization group flow on 3D unimodular Lie groups},
  author = {David Glickenstein and Liang Wu},
  journal= {arXiv preprint arXiv:1510.06136},
  year   = {2017}
}

Comments

Added reference to arXiv:1510.08043 [math.DG], which has some overlapping results

R2 v1 2026-06-22T11:25:17.665Z