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.

Original language	English
Pages (from-to)	140-144
Number of pages	5
Journal	Physics Letters B
Volume	207
Issue number	2
DOIs	https://doi.org/10.1016/0370-2693(88)91405-0
Publication status	Published - 16 Jun 1988

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(88)91405-0

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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 = jun,

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doi = "10.1016/0370-2693(88)91405-0",

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issn = "0370-2693",

publisher = "Elsevier",

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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.

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

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

M3 - Article

AN - SCOPUS:0345973093

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

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