Twisted supersymmetry: Twisted symmetry versus renormalizability

Journal Article · Tue Mar 15 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.065010· OSTI ID:21537572

Dimitrijevic, Marija; Nikolic, Biljana; Radovanovic, Voja ^[1]

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1. Faculty of Physics, University of Belgrade, Studentski Trg 12, 11000 Beograd (Serbia)

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 a power series of the deformation parameter. The Leibniz rule for the twisted supersymmetry 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.

• OSTI ID: 21537572
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 6; Other Information: DOI: 10.1103/PhysRevD.83.065010; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMMUTATION RELATIONS
DEFORMATION
POWER SERIES
RENORMALIZATION
SUPERSYMMETRY
TRANSFORMATIONS
SERIES EXPANSION
SYMMETRY