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Title: Twisted supersymmetry: Twisted symmetry versus renormalizability

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 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.

Authors:
; ;  [1]
  1. Faculty of Physics, University of Belgrade, Studentski Trg 12, 11000 Beograd (Serbia)
Publication Date:
OSTI Identifier:
21537572
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 83; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.83.065010; (c) 2011 American Institute of Physics; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COMMUTATION RELATIONS; DEFORMATION; POWER SERIES; RENORMALIZATION; SUPERSYMMETRY; TRANSFORMATIONS; SERIES EXPANSION; SYMMETRY

Citation Formats

Dimitrijevic, Marija, Nikolic, Biljana, and Radovanovic, Voja. Twisted supersymmetry: Twisted symmetry versus renormalizability. United States: N. p., 2011. Web. doi:10.1103/PHYSREVD.83.065010.
Dimitrijevic, Marija, Nikolic, Biljana, & Radovanovic, Voja. Twisted supersymmetry: Twisted symmetry versus renormalizability. United States. https://doi.org/10.1103/PHYSREVD.83.065010
Dimitrijevic, Marija, Nikolic, Biljana, and Radovanovic, Voja. 2011. "Twisted supersymmetry: Twisted symmetry versus renormalizability". United States. https://doi.org/10.1103/PHYSREVD.83.065010.
@article{osti_21537572,
title = {Twisted supersymmetry: Twisted symmetry versus renormalizability},
author = {Dimitrijevic, Marija and Nikolic, Biljana and Radovanovic, Voja},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.83.065010},
url = {https://www.osti.gov/biblio/21537572}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 6,
volume = 83,
place = {United States},
year = {Tue Mar 15 00:00:00 EDT 2011},
month = {Tue Mar 15 00:00:00 EDT 2011}
}