Three-loop finiteness in Ricci-flat supersymmetric non-linear σ-models

Luis Alvarez-Gaumé

doi:10.1016/0550-3213(81)90214-5

Three-loop finiteness in Ricci-flat supersymmetric non-linear σ-models

Luis Alvarez-Gaumé

Simons Center for Geometry & Physics

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

55 Scopus citations

Abstract

Using the generalized form of the renormalization group equations for supersymmetric non-linear σ-models, the background field expansion, and Kahler differential geometry, it is shown that all supersymmetric non-linear σ-models defined on Ricci flat manifolds are on-shell ultraviolet finite at the three-loop level.

Original language	English
Pages (from-to)	180-188
Number of pages	9
Journal	Nuclear Physics, Section B
Volume	184
Issue number	C
DOIs	https://doi.org/10.1016/0550-3213(81)90214-5
State	Published - 1981

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title = "Three-loop finiteness in Ricci-flat supersymmetric non-linear σ-models",

abstract = "Using the generalized form of the renormalization group equations for supersymmetric non-linear σ-models, the background field expansion, and Kahler differential geometry, it is shown that all supersymmetric non-linear σ-models defined on Ricci flat manifolds are on-shell ultraviolet finite at the three-loop level.",

author = "Luis Alvarez-Gaum{\'e}",

year = "1981",

doi = "10.1016/0550-3213(81)90214-5",

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AU - Alvarez-Gaumé, Luis

PY - 1981

Y1 - 1981

N2 - Using the generalized form of the renormalization group equations for supersymmetric non-linear σ-models, the background field expansion, and Kahler differential geometry, it is shown that all supersymmetric non-linear σ-models defined on Ricci flat manifolds are on-shell ultraviolet finite at the three-loop level.

AB - Using the generalized form of the renormalization group equations for supersymmetric non-linear σ-models, the background field expansion, and Kahler differential geometry, it is shown that all supersymmetric non-linear σ-models defined on Ricci flat manifolds are on-shell ultraviolet finite at the three-loop level.

UR - https://www.scopus.com/pages/publications/0001371088

U2 - 10.1016/0550-3213(81)90214-5

DO - 10.1016/0550-3213(81)90214-5

M3 - Article

AN - SCOPUS:0001371088

SN - 0550-3213

VL - 184

SP - 180

EP - 188

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - C

ER -

Three-loop finiteness in Ricci-flat supersymmetric non-linear σ-models

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