Twisted SUSY: twisted symmetry versus renormalizability
arXiv:1101.5023 · doi:10.1103/PhysRevD.83.065010
Abstract
We discuss a deformation of superspace based on a hermitian twist. The twist implies a -product that is noncommutative, hermitian and finite when expanded in power series of the deformation parameter. The Leibniz rule for the twisted SUSY transformations is deformed. A minimal deformation of the Wess-Zumino action is proposed and its renormalizability properties are discussed. There is no tadpole contribution, but the two-point function diverges. We speculate that the deformed Leibniz rule, or more generally the twisted symmetry, interferes with renormalizability properties of the model. We discuss different possibilities to render a renormalizable model.
20 pages, no figures
References in corpus (48)
- Noncommutative Field Theory
- Quantum Field Theory on Noncommutative Spaces
- Renormalisation of ϕ^4-theory on noncommutative R^4 in the matrix base
- An Introduction to Noncommutative Spaces and their Geometry
- Noncommutative Geometry and Gravity
- The Standard Model on Non-Commutative Space-Time
- Non-commutative superspace from string theory
- Noncommutative Superspace, N=1/2 Supersymmetry, Field Theory and String Theory
- Symmetry, Gravity and Noncommutativity
- Non(anti)commutative Superspace
- Non-Commutative GUTs, Standard Model and C,P,T
- Some Aspects of Deformations of Supersymmetric Field Theories
- Comments on Noncommutative Superspace
- N=1/2 Wess-Zumino model is renormalizable
- Two-loop Renormalization for Nonanticommutative N=1/2 Supersymmetric WZ Model
- Deformed Superspace, N=1/2 Supersymmetry and (Non)Renormalization Theorems
- Supersymmetry in noncommutative superspaces
- Renormalizability of N=1/2 Wess-Zumino model in superspace
- Improved Z -> gamma gamma decay in the renormalizable gauge sector of the noncommutative standard model
- Renormalizability of Non(anti)commutative Gauge Theories with N=1/2 Supersymmetry
- Noncommutative geometry and physics: a review of selected recent results
- Renormalizability of noncommutative SU(N) gauge theory
- Wilsonian Proof for Renormalizability of N=1/2 Supersymmetric Field Theories
- Non(anti)commutative Superspace, UV/IR Mixing & Open Wilson Lines
- The one-loop renormalization of the gauge sector in the noncommutative standard model
- Space-time symmetry of noncommutative field theory
- Drinfeld-Twisted Supersymmetry and Non-Anticommutative Superspace
- Manifest Supersymmetry in Non-Commutative Geometry
- Twist-Deformed Supersymmetries in Non-Anticommutative Superspaces
- Quantum Deformation of the Poincare Supergroup and -deformed Superspace
- Dynamical noncommutativity and Noether theorem in twisted phi^*4 theory
- Non(anti)commutative SYM theory: Renormalization in superspace
- Renormalisability of noncommutative GUT inspired field theories with anomaly safe groups
- Quantum Deformations of Space-Time SUSY and Noncommutative Superfield Theory
- Field Theory on Nonanticommutative Superspace
- The non-anticommutative supersymmetric Wess-Zumino model
- One-loop renormalisation of N=1/2 supersymmetric gauge theory with a superpotential
- Noncommutative GUT inspired theories with U(1), SU(N) groups and their renormalisability
- Construction of the effective action in nonanticommutative supersymmetric field theories
- Drinfel'd Twisted Superconformal Algebra and Structure of Unbroken Symmetries
- Deformed conformal and super-Poincaré symmetries in the non-(anti)commutative spaces
- Noncommutative N=1 super Yang-Mills, the Seiberg-Witten map and UV divergences
- The Seiberg-Witten map and supersymmetry
- On the Consistency of Twisted Gauge Theory
- A renormalizable N=1/2 SYM theory with interacting matter
- D-deformed Wess-Zumino model and its renormalizability properties
- (Non)renormalizability of the D-deformed Wess-Zumino model
- Noncommutativity relations in type IIB theory and their supersymmetry