Three-loop finiteness of the two-dimensional supersymmetric nonlinear π-models on generalized ricci-flat manifolds with torsion

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

We prove the absence of the three-loop correction to the β-function of the two-dimensional N=1 supersymmetric nonlinear σ-model with torsion. Hence, the supersymmetric σ-models with torsion defined on the generalized Ricci-flat ( R ̂ab = 0) manifolds are three-loop finite.

Original languageEnglish
Pages (from-to)140-144
Number of pages5
JournalPhysics Letters B
Volume207
Issue number2
DOIs
Publication statusPublished - 16 Jun 1988

Fingerprint

torsion

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

@article{bc0ce6ea4c4e46d894c351141af44a5e,
title = "Three-loop finiteness of the two-dimensional supersymmetric nonlinear π-models on generalized ricci-flat manifolds with torsion",
abstract = "We prove the absence of the three-loop correction to the β-function of the two-dimensional N=1 supersymmetric nonlinear σ-model with torsion. Hence, the supersymmetric σ-models with torsion defined on the generalized Ricci-flat ( R ̂ab = 0) manifolds are three-loop finite.",
author = "Ketov, {S. V.}",
year = "1988",
month = "6",
day = "16",
doi = "10.1016/0370-2693(88)91405-0",
language = "English",
volume = "207",
pages = "140--144",
journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",
issn = "0370-2693",
publisher = "Elsevier",
number = "2",

}

TY - JOUR

T1 - Three-loop finiteness of the two-dimensional supersymmetric nonlinear π-models on generalized ricci-flat manifolds with torsion

AU - Ketov, S. V.

PY - 1988/6/16

Y1 - 1988/6/16

N2 - We prove the absence of the three-loop correction to the β-function of the two-dimensional N=1 supersymmetric nonlinear σ-model with torsion. Hence, the supersymmetric σ-models with torsion defined on the generalized Ricci-flat ( R ̂ab = 0) manifolds are three-loop finite.

AB - We prove the absence of the three-loop correction to the β-function of the two-dimensional N=1 supersymmetric nonlinear σ-model with torsion. Hence, the supersymmetric σ-models with torsion defined on the generalized Ricci-flat ( R ̂ab = 0) manifolds are three-loop finite.

UR - http://www.scopus.com/inward/record.url?scp=0345973093&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0345973093&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(88)91405-0

DO - 10.1016/0370-2693(88)91405-0

M3 - Article

VL - 207

SP - 140

EP - 144

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 2

ER -