The loop Virasoro conformal superalgebra associated with the loop super-Virasoro algebra is constructed in the present paper. The conformal superderivation algebra of is completely determined, which is shown to consist of inner superderivations. And nontrivial free and free -graded -modules of rank two are classified. We also give a classification of irreducible free -modules of rank two and all irreducible submodules of each free -graded -module of rank two.
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Dai et al. (2017) studied this question.
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