Manin supertriples and Drinfel'd superdoubles in low dimensions

preprint2010arXivOpen access

Abstract

Defining the real Lie superalgebra as real Z2Z_2--graded vector space we classify real Manin supertriples and Drinfel'd superdoubles of superdimensions (2,2), (4,2) and (2,4). They can be used for construction of sigma-models on supergroups related by Poisson-Lie T-plurality.

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