On the Supersymmetric BKP-Hierarchy
Eduardo Ramos, Sonia Stanciu
Abstract
We prove that the supersymmetric BKP-hierarchy of Yu (SBKP2) is hamiltonian with respect to a nonlinear extension of the N=1 Super-Virasoro algebra (WSBKP) by fields of spin k, where k>3/2 and 2k = 0,3 mod 4. Moreover, we show how to associate in a similar manner an N=1 W-superalgebra with every integrable hierarchy of the SKdV-type. We also show using dressing transformations how to extend, in a way which is compatible with the hamiltonian structure, the SBKP2-hierarchy by odd flows, as well as the equivalence of this extended hierarchy to the SBKP-hierarchy of Manin-Radul.
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