Family of Boundary Poisson Brackets
نویسنده
چکیده
We find a new d-parameter family of ultra-local boundary Poisson brackets that satisfy the Jacobi identity. The two already known cases (hep-th/9305133, hep-th/9806249 and hepth/9901112) of ultra-local boundary Poisson brackets are included in this new continuous family as special cases. PACS number(s): 02.70.Pt, 11.10.Ef.
منابع مشابه
Boundary Poisson Brackets, Strings and Membranes
We construct Poisson brackets at boundaries of open strings and membranes with constant background fields which are compatible with their boundary conditions. The boundary conditions are treated as primary constraints which give infinitely many secondary constraints. We show explicitly that we need only two (the primary and one of the secondary) constraints to determine Poisson brackets of stri...
متن کاملPoisson Brackets, Strings and Membranes
We construct Poisson brackets at boundaries of open strings and membranes with constant background fields which are compatible with their boundary conditions. The boundary conditions are treated as primary constraints which give infinitely many secondary constraints. We show explicitly that we need only two (the primary one and one of the secondary ones) constraints to determine Poisson bracket...
متن کاملThe Family of Analytic Poisson Brackets for the Camassa–holm Hierarchy
Abstract. We consider the integrable Camassa–Holm hierarchy on the line with positive initial data rapidly decaying at infinity. It is known that flows of the hierarchy can be formulated in a Hamiltonian form using two compatible Poisson brackets. In this note we propose a new approach to Hamiltonian theory of the CH equation. In terms of associated Riemann surface and the Weyl function we writ...
متن کاملSe p 20 01 On the local systems Hamiltonian in the weakly nonlocal Poisson brackets
On the local systems Hamiltonian in the weakly nonlocal Poisson brackets. Abstract We study in this work the important class of nonlocal Poisson Brackets (PB) which we call weakly nonlocal. They appeared recently in some investigations in the Soliton Theory. However there was no theory of such brackets except very special first order case. Even in this case the theory was not developed enough. ...
متن کاملPoisson brackets on rational functions and multi-Hamiltonian structure for integrable lattices
We introduce a family of compatible Poisson brackets on the space of rational functions with denominator of a fixed degree and use it to derive a multi-Hamiltonian structure for a family of integrable lattice equations that includes both the standard and the relativistic Toda lattices. PACS 02.30, 05.45, 11.30.N
متن کامل