Lorentz symmetry breaking in superspace
1 Department of Physics and Astronomy, University of Waterloo - Waterloo, Ontario N2L 3G1, Canada
2 Department of Physics, National Institute of Technology - Srinagar, Kashmir-190006, India
Received: 11 June 2015
Accepted: 17 July 2015
In this paper, we will study the deformation of a three-dimensional theory with supersymmetry. This theory will be deformed by the presence of a constant vector field. This deformation will break the Lorentz symmetry. So, we will analyse this theory using aether superspace. The aether superspace will be obtained from a deformation of the usual superspace. This will be done by deforming the generators of the three-dimensional supersymmetry. After analysing this deformed superalgebra, we will derive an explicit expression for the superspace propagators in this deformed superspace. Finally, we will use these propagators for performing perturbative calculations.
PACS: 11.30.Pb – Supersymmetry
© EPLA, 2015