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arXiv · 1508.04594

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

Mir Faizal·Prince A. Ganai
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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.

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Mir Faizal, Prince A. Ganai. 2015-08-19. Lorentz Symmetry Breaking in $\mathcal{N} =2$ Superspace. https://doi.org/10.1209/0295-5075/111/21001

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