Supersymmetric BKP systems and their symmetries
arXiv:1505.01938 · doi:10.1016/j.nuclphysb.2015.05.012
Abstract
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.
22 Pages, Nuclear Physics B 896(2015) 716-737