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arxiv: 1710.06919 · v1 · pith:CXU7S65Cnew · submitted 2017-10-04 · ✦ hep-th

Non-Local Deformation of a Supersymmetric Field Theory

classification ✦ hep-th
keywords theorywillsupersymmetricdeformedfieldnon-localtermsanalyse
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In this paper, we will analyse a supersymmetric field theory deformed by generalized uncertainty principle and Lifshitz scaling. It will be observed that this deformed supersymmetric field theory contains non-local fractional derivative terms. In order to construct such deformed N=1 supersymmetric theory, a harmonic extension of functions will be used. However, the supersymmetry will be only preserved for a free theory and will be broken by the inclusion of interaction terms.

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