1995/04/06 by J. C. Brunelli, J.C. Brunelli, Ashok Das · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Algebraic structures and combinatorial models #Quantum Mechanics and Non-Hermitian Physics #hep-th
paper · pdf · doi:10.1016/0370-2693(95)00678-e
published as Phys.Lett. B354 (1995) 307-314 · 17 pages, plain TeX
arxiv created 1995/04/06 · openalex publication_date 1995/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We obtain the conserved, nonlocal charges for the supersymmetric two boson hierarchy from fractional powers of its Lax operator. We show that these changes reduce to the ones of the supersymmetric KdV system under appropriate reduction. We study the algebra of the nonlocal, local and supersymmetry charges with respect to the first and the second Hamiltonian structures of the system and discuss how they close as a graded nonlinear cubic algebra.