https://doi.org/10.1140/epjc/s10052-017-5142-9
Regular Article - Theoretical Physics
Non-local deformation of a supersymmetric field theory
1
Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore, 117551, Singapore
2
Department of Physics and Astronomy, University of Lethbridge, Lethbridge, AB T1K 3M4, Canada
3
Irving K. Barber School of Arts and Sciences, University of British Columbia - Okanagan, Kelowna, BC, V1V 1V7, Canada
4
Department of Physics, National Institute of Technology, Srinagar, Kashmir, 190006, India
5
Department of Metallurgical and Materials Engineering, National Institute of Technology, Srinagar, 190006, India
6
Department of Electronics and Communication Engineering, University of Kashmir, Srinagar, Kashmir, 190006, India
7
Department of Physics, International Islamic University, H-10 Sector, Islamabad, Pakistan
* e-mail: a0086307@u.nus.edu
Received:
11
July
2017
Accepted:
11
August
2017
Published online:
15
September
2017
In this paper, we will analyze 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 a deformed 
supersymmetric theory, a harmonic extension of functions will be used. However, the supersymmetry will only be preserved for a free theory and will be broken by the inclusion of interaction terms.
© The Author(s), 2017
