Renormalization properties of a Galilean Wess-Zumino model

Roberto Auzzi, Stefano Baiguera, Giuseppe Nardelli, Silvia Penati
2019 Journal of High Energy Physics  
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. Here P j are the spatial
more » ... e the spatial components of the momentum, K j are the generators of Galilean boosts, J is the planar angular momentum and Q,Q are two complex supercharges. The central charge M corresponds to the mass or particle number conservation.
doi:10.1007/jhep06(2019)048 fatcat:gadkxcbzejbn5itlo6r6pj6t7y