Quantum SUSY algebra of Q-lumps in the massive Grassmannian sigma model

We compute the N=2 SUSY algebra of the massive Grassmannian sigma model in (2+1) dimensions. We first rederive the action of the model by using Scherk-Schwarz dimensional reduction from N=1 theory in (3+1) dimensions. Then, we perform canonical quantization by using the Dirac method. We find that a particular choice of the operator ordering yields the quantum SUSY algebra of Q-lumps with central extension