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

Research output: Contribution to journalArticle

1 Citation (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)1-6
Number of pages6
JournalJournal of Fixed Point Theory and Applications
DOIs
StateAccepted/In press - Nov 17 2016

Fingerprint

Lie groups
Loop Groups
Solitons
Renormalization Group
Metric
Ricci Flow
Brackets
Shrinking

Keywords

  • bracket flow
  • Renormalization group flow
  • RG-2 flow
  • unimodular Lie group

ASJC Scopus subject areas

  • Modeling and Simulation
  • Geometry and Topology
  • Applied Mathematics

Cite this

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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 = "bracket flow, Renormalization group flow, RG-2 flow, unimodular Lie group",
author = "Glickenstein, {David A} and Liang Wu",
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KW - Renormalization group flow

KW - RG-2 flow

KW - unimodular Lie group

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