Geometry and anomaly structure of supersymmetric \(\sigma\)-models
type: Item
instance of: scholarly article
title: Geometry and anomaly structure of supersymmetric \(\sigma\)-models
zbMATH Open document ID: 0621.53073
DOI: 10.1016/0003-4916(87)90059-5
published in: Annals of Physics
publication date: 1987-01-01T00:00:00Z
full work available at URL: http://cds.cern.ch/record/166926
review text: Supersymmetric \(\sigma\)-models, which describe low-energy interactions of Goldstone fields arising from spontaneous symmetry breaking, correspond to non-compact, non-homogeneous Kähler manifolds. We discuss systematically general features of this class of \(\sigma\)-models in comparison with the more familiar \(\sigma\)-models based on compact, homogeneous (coset) Kähler manifolds \(G/H\). A key property of supersymmetric \(\sigma\)-models is their hidden invariance under local \(\tilde H\) transformations, where \(\tilde H\) is a subgroup of the complexificaton \(\bar G\) of G, which characterizes the specific model. Contrary to homogeneous ones, non-homogeneous \(\sigma\)-models may be supplemented with local counter terms which cancel isometry anomalies. We illustrate our general discussion by means of a \(\sigma\)-model based on the coset space \(U(n+2)/U(n)\times SU(2).\)
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 53B35
Mathematics Subject Classification ID: 81T60
zbMATH DE Number: 4007204
zbMATH Keywords: Supersymmetric \(\sigma \)-models
zbMATH Keywords: low-energy interactions
zbMATH Keywords: Goldstone fields
zbMATH Keywords: spontaneous symmetry breaking
zbMATH Keywords: Kähler manifolds
zbMATH Keywords: non- homogeneous \(\sigma \)-models
zbMATH Keywords: anomalies
author: W. Buchmüller
author: W. Lerche
MaRDI profile type: Publication
OpenAlex ID: W2093675188
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cites work: The structure of gauge and gravitational anomalies
description: scientific article; zbMATH DE number 4007204