U(h)-free modules over the super-Galilean conformal algebras.

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. [ABSTRACT FROM AUTHOR]