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Morita equivalence of noncommutative supertori

Ee Chang-Young, Hoil Kim, Hiroaki Nakajima
2010 Journal of Mathematical Physics  

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2009 pre-print arXiv:0909.5613v3 fatcat:wv6zaw7e3zhuhgqku2m4tjpsji

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2009 pre-print
arXiv:0909.5613v1 fatcat:wffkktf335gmfmljl4fzpza2eu
2011 accepted
arXiv:0909.5613v4 fatcat:nas753bxw5eenmnsuiwqybdacq
2009 pre-print
arXiv:0909.5613v2 fatcat:gxqabbifi5d2diwuracvxhahfy
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 SO(2,2,V_^0), where V_^0 denotes Grassmann even number whose body part belongs to , yields Morita
more » ... equivalent noncommutative supertori in two dimensions.
doi:10.1063/1.3432279 fatcat:42owhvicdfasldavtm2g7x3x34
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Ee Chang-Young, Hoil Kim, Hiroaki Nakajima. "Morita equivalence of noncommutative supertori." Journal of Mathematical Physics 51.6 (2010) 063520