Fermionic T-duality and Morita Equivalence
arXiv:1101.0473 · doi:10.1007/JHEP06(2011)002
Abstract
In this paper we investigate the relationship between the so-called fermionic T-duality and the Morita equivalence of noncommutative supertori. We first get an action satisfying the BRST invariance under nonvanishing constant R-R and NS-NS backgrounds in the hybrid formalism. We investigate the effect of bosonic T-duality transformation together with fermionic T-duality transformation in this background and look for the resultant symmetry of transformations. We find that the duality transformations correspond to Morita equivalence of noncommutative supertori. In particular, we obtain the symmetry group in two dimensions, where denotes Grassmann even number whose body part belongs to .
19 pages, the version appeared in JHEP
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