Field theory on nonanticommutative superspace

✍ Scribed by M. Dimitrijević; V. Radovanović; J. Wess

• Publisher: John Wiley and Sons
• Year: 2008
• Tongue: English
• Weight: 137 KB
• Volume: 56
• Category: Article
• ISSN: 0015-8208
• DOI: 10.1002/prop.200710514

✦ Synopsis

Abstract

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.