Manin supertriples and Drinfel'd superdoubles in low dimensions
classification
🧮 math-ph
math.MP
keywords
realdrinfelmaninsuperdoublessupertriplesclassifyconstructiondefining
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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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