Hamiltonian formalism for /ital N/=1, /ital D/=10 Yang--Mills coupled supergravity

Journal Article · Mon May 01 04:00:00 EDT 1989 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(89)90320-5· OSTI ID:6028430

Foussats, A; Zandron, O

The canonical convariant formalism for /ital N/=1 /ital D/=10 matter-coupled supergravity is constructed and applied in both cases, when the Lagrangian density contains linear terms in the Riemann curvature, or the quadratic one. When in this coupled system the canonical formalism for higher curvature supergravities is considered, it is possible to show that the propagation torsion mechanism takes place. Starting from the first-order formalism with the Hamiltonian that contains a finite number of terms including higher curvature ones, the nonpolynomial structure of the second-order formalism of the supersymmetric transformation rules, as well as of the rheonomic equation, can be shown. This fact allows us to relate the higher curvature Hamiltonian formalism with the massless sector of effective superstring theories. /copyright/ 1989 Academic Press, Inc.

• Research Organization: Facultad de Ciencias Exactas Ingernieria y Agrimensura, U.N.R., Av. Pellgrini 250, 2000 Rosario, Argentina (AR)
• OSTI ID: 6028430
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 191:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CANONICAL TRANSFORMATIONS
CONSTRAINTS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
HAMILTONIANS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
SUPERGRAVITY
TRANSFORMATIONS
UNIFIED-FIELD THEORIES
YANG-MILLS THEORY