On the structure of superfields in a field theory on a supermanifold
type: Item
instance of: scholarly article
title: On the structure of superfields in a field theory on a supermanifold
zbMATH Open document ID: 0587.58013
DOI: 10.1007/BF00417460
author: Ugo Bruzzo
author: Roberto Cianci
published in: Letters in Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: In view of applications to the formulation of gauge field theories on supermanifolds, we study the relation between the sheaves of functions on a supermanifold M and its body manifold \(M_ 0\), respectively. The nonuniqueness of the local injections \(\iota\) : \(M_ 0\to M\) is analysed in consideration of its role in supersymmetric field theories. A Banach space structure is given to the set of bounded, supersmooth, \(C^ k\) fields on M in order to get a rigorous formulation of variational principles for the class of theories under consideration.
Mathematics Subject Classification ID: 58A40
Mathematics Subject Classification ID: 83E50
Mathematics Subject Classification ID: 58E30
Mathematics Subject Classification ID: 81T60
zbMATH DE Number: 3942538
zbMATH Keywords: gauge field theories on supermanifolds
zbMATH Keywords: sheaves of functions
zbMATH Keywords: supersymmetric field theories
zbMATH Keywords: variational principles
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3942538