Canonical 3+1 Description of Relativistic Membranes

Abstract

$M$-dimensional extended objects $\Sigma$ can be described by projecting a Diff $\Sigma$ invariant Hamiltonian of time-independent Hamiltonian density {\cal H} onto the Diff $\Sigma$- singlet sector, which after Hamiltonian reduction, using {\cal H} itself for one of the gauge-fixing conditions, results in a non-local description that may enable one to extend the non-local symmetries for strings to higher dimensions and make contact with gravity at an early stage.

9 pages, Plain TeX, YITP/K-1079 unreadable character codes are corrected

Cited by in corpus (4)

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• Exact solutions for U(1) globally invariant membranes
• Diffeomorphism Invariant Integrable Field Theories and Hypersurface Motions in Riemannian Manifolds
• Curved Space (Matrix) Membranes