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

David Glickenstein; Liang Wu

doi:10.1007/s11784-016-0381-1

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

David Glickenstein, Liang Wu

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 language	English (US)
Pages (from-to)	1977-1982
Number of pages	6
Journal	Journal of Fixed Point Theory and Applications
Volume	19
Issue number	3
DOIs	https://doi.org/10.1007/s11784-016-0381-1
State	Published - Sep 1 2017

Keywords

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

ASJC Scopus subject areas

Modeling and Simulation
Geometry and Topology
Applied Mathematics

Access to Document

10.1007/s11784-016-0381-1

Cite this

@article{afd8c6c04b4840abaefed2b2186c74a9,

title = "Soliton metrics for two-loop renormalization group flow on 3D unimodular Lie groups",

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 = "RG-2 flow, Renormalization group flow, bracket flow, unimodular Lie group",

author = "David Glickenstein and Liang Wu",

note = "Publisher Copyright: {\textcopyright} 2016, Springer International Publishing.",

year = "2017",

month = sep,

day = "1",

doi = "10.1007/s11784-016-0381-1",

language = "English (US)",

volume = "19",

pages = "1977--1982",

journal = "Journal of Fixed Point Theory and Applications",

issn = "1661-7738",

publisher = "Springer Science + Business Media",

number = "3",

}

TY - JOUR

T1 - Soliton metrics for two-loop renormalization group flow on 3D unimodular Lie groups

AU - Glickenstein, David

AU - Wu, Liang

PY - 2017/9/1

Y1 - 2017/9/1

N2 - 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.

AB - 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.

KW - RG-2 flow

KW - Renormalization group flow

KW - bracket flow

KW - unimodular Lie group

UR - http://www.scopus.com/inward/record.url?scp=84995776236&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84995776236&partnerID=8YFLogxK

U2 - 10.1007/s11784-016-0381-1

DO - 10.1007/s11784-016-0381-1

M3 - Article

AN - SCOPUS:84995776236

SN - 1661-7738

VL - 19

SP - 1977

EP - 1982

JO - Journal of Fixed Point Theory and Applications

JF - Journal of Fixed Point Theory and Applications

IS - 3

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this