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On the structure of superfields in a field theory on a supermanifold

โœ Scribed by Ugo Bruzzo; Roberto Cianci

Publisher
Springer
Year
1986
Tongue
English
Weight
303 KB
Volume
11
Category
Article
ISSN
0377-9017

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โœฆ Synopsis

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 Mo, respectively. The nonuniqueness of the local injections t: M o ~ 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. (1980). 58A50, 83E50.

AMS (MOS) subject classifications

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