https://doi.org/10.1140/epjc/s10052-015-3782-1
Regular Article - Theoretical Physics
Chern–Simons theory in SIM(1) superspace
1
Department of Theoretical Physics and Astrophysics, Masaryk University, Kotlářská 267/2, 611 37, Brno, Czech Republic
2
Department of Physics and Astronomy, University of Waterloo, Waterloo, ON, N2L 3G1, Canada
* e-mail: mirfaizalmir@gmail.com
Received:
19
October
2015
Accepted:
6
November
2015
Published online:
14
December
2015
In this paper, we will analyze a three-dimensional supersymmetric Chern–Simons theory in SIM(1) superspace formalism. The breaking of the Lorentz symmetry down to the SIM(1) symmetry breaks half the supersymmetry of the Lorentz invariant theory. So, the supersymmetry of the Lorentz invariant Chern–Simons theory with 
supersymmetry will break down to 
supersymmetry, when the Lorentz symmetry is broken down to the SIM(1) symmetry. First, we will write the Chern–Simons action using SIM(1) projections of superfields. However, as the SIM(1) transformations of these projections are very complicated, we will define SIM(1) superfields which transform simply under SIM(1) transformations. We will then express the Chern–Simons action using these SIM(1) superfields. Furthermore, we will analyze the gauge symmetry of this Chern–Simons theory. This is the first time that a Chern–Simons theory with 
supersymmetry will be constructed on a manifold without a boundary.
© The Author(s), 2015
