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- W62150340 abstract "In this paper, we will analyse 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 $mathcal{N} =1$ 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 $mathcal{N} =1/2$ supersymmetry. This is the first time that $mathcal{N} =1 $ supersymmetry will be broken down to $mathcal{N} =1/2$ supersymmetry, for a three dimensional theory, on a manifold without a boundary. This is because it is not possible to use non-anticommutativity to break $mathcal{N} =1$ supersymmetry down to $mathcal{N} =1/2$ supersymmetry in three dimensions." @default.
- W62150340 created "2016-06-24" @default.
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- W62150340 date "2015-02-13" @default.
- W62150340 modified "2023-09-27" @default.
- W62150340 title "Super-Yang-Mills theory in<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mi>S</mml:mi><mml:mi>I</mml:mi><mml:mi>M</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=false>)</mml:mo></mml:mrow></mml:math>superspace" @default.
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- W62150340 doi "https://doi.org/10.1103/physrevd.91.045015" @default.
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