On the Supersymmetric BKP-Hierarchy

Abstract

We prove that the supersymmetric BKP-hierarchy of Yu (SBKP_2) is hamiltonian with respect to a nonlinear extension of the N=1 Super-Virasoro algebra (W_SBKP) 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 SBKP_2-hierarchy by odd flows, as well as the equivalence of this extended hierarchy to the SBKP-hierarchy of Manin-Radul.

15 pages, Plain TeX, QMW-PH-94-3

Cited by in corpus (5)

• Supersymmetric BKP systems and their symmetries
• N=2 local and N=4 nonlocal reductions of supersymmetric KP hierarchy in N=2 superspace
• Refining the Shifted Topological Vertex
• Supersymmetric KP hierarchy in N=1 superspace and its N=2 reductions
• Bosonic symmetries of the extended fermionic $(2N,2M)$-Toda hierarchy