Field Theory on Nonanticommutative Superspace
arXiv:0710.1746 · doi:10.1088/1126-6708/2007/12/059
Abstract
We discuss a deformation of the Hopf algebra of supersymmetry (SUSY) transformations based on a special choice of twist. As usual, algebra itself remains unchanged, but the comultiplication changes. This leads to the deformed Leibniz rule for SUSY transformations. Superfields are elements of the algebra of functions of the usual supercoordinates. Elements of this algebra are multiplied by using a -product which is noncommutative, hermitian and finite when expanded in power series of the deformation parameter. Chiral fields are no longer a subalgebra of the algebra of superfields. 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.
23 pages, no figure, minor changed, refs. added
References in corpus (8)
- A Gravity Theory on Noncommutative Spaces
- Twisted Gauge Theories
- Twist to close
- Noncommutative Symmetries and Gravity
- Drinfel'd Twisted Superconformal Algebra and Structure of Unbroken Symmetries
- Noncommutative Gravity and the *-Lie algebra of diffeomorphisms
- On Supergroups with Odd Clifford Parameters and Supersymmetry with Modified Leibniz Rule
- Twisted Supersymmetry, Fermion-Boson Mixing and Removal of UV-IR Mixing
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- D-deformed Wess-Zumino model and its renormalizability properties
- (Non)renormalizability of the D-deformed Wess-Zumino model
- Twist Deformations of the Supersymmetric Quantum Mechanics
- Noncommutativity relations in type IIB theory and their supersymmetry
- Global Space-Time Symmetries of Quantized Euclidean and Minkowski Superspaces
- Twisted Supersymmetry in a Deformed Wess-Zumino Model in (2+1) Dimensions
- Twisted SUSY: twisted symmetry versus renormalizability