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Field theory on nonanticommutative superspace
Author(s) -
Dimitrijević M.,
Radovanović V.,
Wess J.
Publication year - 2008
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200710514
Subject(s) - superspace , supersymmetry , noncommutative geometry , minkowski space , hopf algebra , physics , deformation (meteorology) , mathematical physics , hermitian matrix , action (physics) , algebra over a field , d term , supersymmetry algebra , power series , field (mathematics) , mathematics , pure mathematics , quantum mechanics , supergravity , mathematical analysis , meteorology
We discuss a deformation of the Hopf algebra of supersymmetry (SUSY) transformations based on a special choice of a twist. As usual, algebra itself remains unchanged, but the comultiplication changes. This leads to a deformed Leibniz rule for SUSY transformations. Superfields are multiplied by using a ☆‐product which is noncommutative, hermitian and finite when expanded in power series of the deformation parameter. One possible deformation of the Wess‐Zumino action is proposed and analysed in detail. Differently from most of the literature concerning this subject, we work in Minkowski space‐time.