Manin supertriples and Drinfel'd superdoubles in low dimensions

Details Manin supertriples and Drinfel'd superdoubles in low dimensions Manin supertriples and Drinfel'd superdoubles in low dimensions

2009-08-07

arxiv.org/abs/0908.0997v3

Physics

Mathematical Physics

20 pages, 7 tables, several typos corrected

Scientific paper

Defining the real Lie superalgebra as real $Z_2$--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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