Complete integrability of the supersymmetric (cos phi)/sub 2/ model

Journal Article · Wed May 20 00:00:00 EDT 1987 · J. Sov. Math.; (United States)

OSTI ID:5774103

Kulish, P P; Tsyplyaev, S A

Complete integrability of the supersymmetric two-dimensional sine-Gordon field-theoretical model is proved in the framework of the Hamiltonian interpretation of the inverse problem method. The classical r-matrix of this model is computed and shown to be equivalent to the r-matrix of the Grassmann Thirring model. Creation-annihilation variables are constructed and the elementary excitation spectrum is determined.

• OSTI ID: 5774103
• Journal Information: J. Sov. Math.; (United States), Vol. 37:4; Other Information: Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR; 120: 122-135(1982)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
SINE-GORDON EQUATION
HAMILTONIANS
SUPERSYMMETRY
ANNIHILATION OPERATORS
BOSONS
CREATION OPERATORS
EQUATIONS OF MOTION
FERMIONS
INVERSE SCATTERING PROBLEM
JOST FUNCTION
LIE GROUPS
LIGHT CONE
QUANTUM FIELD THEORY
R MATRIX
SCATTERING
SOLITONS
SPECTRA
THIRRING MODEL
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
MATHEMATICAL OPERATORS
MATRICES
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
QUASI PARTICLES
SPACE-TIME
SYMMETRY
SYMMETRY GROUPS
645400* - High Energy Physics- Field Theory