Publication details

Super-Yang-Mills theory in SIM(1) superspace

Authors

VOHÁNKA Jiří FAIZAL M.

Year of publication 2015
Type Article in Periodical
Magazine / Source Physical review D
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.1103/PhysRevD.91.045015
Field Astronomy and astrophysics
Keywords QUANTUM-GRAVITY
Description In this paper, we will analyze three-dimensional supersymmetric Yang-Mills theory coupled to matter fields in SIM(1) superspace formalism. The original theory which is invariant under the full Lorentz group has N = 1 supersymmetry. However, when we break the Lorentz symmetry down to SIM(1) group, the SIM(1) superspace will break half the supersymmetry of the original theory. Thus, the resultant theory in SIM(1) superspace will have N = 1/2 supersymmetry. This is the first time that N = 1 supersymmetry will be broken down to N = 1/2 supersymmetry, for a three-dimensional theory, on a manifold without a boundary. This is because it is not possible to use nonanticommutativity to break N = 1 supersymmetry down to N = 1/2 supersymmetry in three dimensions.

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