We consider a Galilean N = 2 supersymmetric theory with F-term couplings in 2 + 1 dimensions, obtained by null reduction of a relativistic Wess-Zumino model. We compute quantum corrections and we check that, as for the relativistic parent theory, the F-term does not receive quantum corrections. Even more, we find evidence that the causal structure of the non-relativistic dynamics together with particle number conservation constrain the theory to be one-loop exact.
Auzzi, R., Baiguera, S., Nardelli, G., Penati, S., Renormalization properties of a Galilean Wess-Zumino model, <<JOURNAL OF HIGH ENERGY PHYSICS>>, 2019; 2019 (06): 0-40. [doi:10.1007/JHEP06(2019)048] [http://hdl.handle.net/10807/142607]
Renormalization properties of a Galilean Wess-Zumino model
Auzzi, Roberto;Baiguera, Stefano;Nardelli, Giuseppe;
2019
Abstract
We consider a Galilean N = 2 supersymmetric theory with F-term couplings in 2 + 1 dimensions, obtained by null reduction of a relativistic Wess-Zumino model. We compute quantum corrections and we check that, as for the relativistic parent theory, the F-term does not receive quantum corrections. Even more, we find evidence that the causal structure of the non-relativistic dynamics together with particle number conservation constrain the theory to be one-loop exact.
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