Abstract
In this paper, we study non-weight modules over the super-Galilean conformal algebra. We construct and classify U(H)-free modules of rank 1 over the Ramond-type algebra and U(h)-free modules of rank 2 over the Neveu–Schwarz-type algebra, where H is a subalgebra of the Ramond-type algebra and h is the Cartan algebra of the Neveu–Schwarz-type algebra. We find that these modules are reducible and isomorphic.
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