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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Ketov, S. V. (1988). Three-loop finiteness of the two-dimensional supersymmetric nonlinear π-models on generalized ricci-flat manifolds with torsion. Physics Letters B, 207(2), 140-144. https://doi.org/10.1016/0370-2693(88)91405-0

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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.",

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AU - Ketov, S. V.

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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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