Lorentz Symmetry Breaking in $\mathcal{N}=2$ Superspace

Abstract

In this paper, we will study the deformation of a three dimensional theory with $\mathcal{N}=2$ 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 $\mathcal{N}=2$ aether superspace. The $\mathcal{N}=2$ aether superspace will be obtained from a deformation of the usual $\mathcal{N}=2$ superspace. This will be done by deforming the generators of the three dimensional $\mathcal{N}=2$ 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.

9 pages, 0 figures, Accepted for publication in EPL

References in corpus (6)

• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Membranes at Quantum Criticality
• Covariant anomaly and Hawking radiation from the modified black hole in the rainbow gravity theory
• On the superfield supersymmetric aether-like Lorentz-breaking models
• Supergauge theories in aether superspace
• Vector Superfields and Lorentz Violation

Cited by in corpus (4)

• Lorentz-violating spinor electrodynamics and Penning traps
• Lorentz and CPT Tests with Clock-Comparison Experiments
• Lorentz and CPT tests with charge-to-mass ratio comparisons in Penning traps
• Dynamical gauge symmetry breaking in lower-dimensional Lorentz-violating supersymmetric theory