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In the present paper, a class of non-weight modules over loop Ramond algebrasRare defined. Denoteh = C L 0 ; 0 ⊕ C G 0 ; 0. We prove that these modules constitute a complete classification ofU ( h )-free modules of rank 1 overR. Based on this result, it is relatively easy to provide the classification theorem for some other loop Lie superalgebras such as the loop twisted N = 2 superconformal algebra, the loop super-Galilean conformal algebra and the loop Ramond-Block algebra.

A class of non-weight modules over loop Ramond algebras