130 research outputs found
Supersymmetric BKP systems and their symmetries
In this paper, we construct the additional symmetries of the supersymmetric
BKP(SBKP) hierarchy. These additional flows constitute a B type
Lie algebra because of the B type reduction of the supersymmetric BKP
hierarchy. Further we generalize the SBKP hierarchy to a supersymmetric
two-component BKP (S2BKP) hierarchy equipped with a B type
Lie algebra. As a Bosonic reduction of
the S2BKP hierarchy, we define a new constrained system called the
supersymmetric Drinfeld-Sokolov hierarchy of type D which admits a
supersymmetric Block type symmetry.Comment: 22 Pages, Nuclear Physics B 896(2015) 716-73
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