In this paper we study the extension of Morita equivalence of noncommutative tori to the supersymmetric case. The structure of the symmetry group yielding Morita equivalence appears to be intact but its parameter field becomes supersymmetrized having both body and soul parts. Our result is mainly in the two dimensional case in which noncommutative supertori have been constructed recently: The group , where denotes Grassmann even number whose body part belongs to , yields Morita equivalent noncommutative supertori in two dimensions.
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Research Article| June 29 2010
Morita equivalence of noncommutative supertori
Ee Chang-Young, Hoil Kim, Hiroaki Nakajima; Morita equivalence of noncommutative supertori. J. Math. Phys. 1 June 2010; 51 (6): 063520. https://doi.org/10.1063/1.3432279
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