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arXiv · 1505.01938

Supersymmetric BKP systems and their symmetries

Chuanzhong Li·Jingsong He
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Abstract

In this paper, we construct the additional symmetries of the supersymmetric BKP(SBKP) hierarchy. These additional flows constitute a B type $SW_{1+\infty}$ 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 $SW_{1+\infty}\bigoplus SW_{1+\infty}$ 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 $N=2$ supersymmetric Block type symmetry.

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Chuanzhong Li, Jingsong He. 2015-05-22. Supersymmetric BKP systems and their symmetries. https://doi.org/10.1016/j.nuclphysb.2015.05.012

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