The Hamiltonian structure of a coupled system derived from a supersymmetric breaking of super Korteweg-de Vries equations

Journal Article · Fri Nov 15 00:00:00 EST 2013 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4834056· OSTI ID:22217851

Restuccia, A. ^[1]; Sotomayor, A. ^[2]

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1. Departamento de Física, Universidad de Antofagasta, Antofagasta, Chile and Departamento de Física, Universidad Simón Bolívar, Caracas (Venezuela, Bolivarian Republic of)
2. Departamento de Matemáticas, Universidad de Antofagasta, Antofagasta (Chile)

A supersymmetric breaking procedure for N= 1 super Korteweg-de Vries (KdV), using a Clifford algebra, is implemented. Dirac's method for the determination of constraints is used to obtain the Hamiltonian structure, via a Lagrangian, for the resulting solitonic system of coupled KdV type system. It is shown that the Hamiltonian obtained by this procedure is bounded from below and in that sense represents a model which is physically admissible.

• OSTI ID: 22217851
• Journal Information: Journal of Mathematical Physics, Vol. 54, Issue 11; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
CLIFFORD ALGEBRA
DIRAC EQUATION
HAMILTONIANS
KORTEWEG-DE VRIES EQUATION
LAGRANGIAN FUNCTION
LIMITING VALUES
SOLITONS
SUPERSYMMETRY
SYMMETRY BREAKING