Spin, supersymmetry, and square roots of constraints

Conference · Sun Jan 01 04:00:00 EST 1978 · AIP (Am. Inst. Phys.) Conf. Proc.; (United States)

OSTI ID:6440989

Teitelboim, C

It is argued that the natural way of introducing spin degrees of a freedom in a generally covariant system is to take the square root, a la Dirac, of the first class Hamiltonian constraints which generate the dynamical evolution of the system without spin. The theories obtained in this way are locally supersymmetric by construction. A comparative analysis of the relativistic spinning particle and of supergravity is given, which shows that supergravity bears to ordinary general relativity the same relation that a Dirac particle bears to a Klein Gordon particle. 24 references.

• Research Organization: Inst. for Advanced Study, Princeton, NJ
• OSTI ID: 6440989
• Report Number(s): CONF-780495-
• Conference Information: Journal Name: AIP (Am. Inst. Phys.) Conf. Proc.; (United States) Journal Volume: 48
• Country of Publication: United States
• Language: English

Related Subjects

645301 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BOUNDARY CONDITIONS
ELEMENTARY PARTICLES
ENERGY RANGE
HAMILTONIANS
MATHEMATICAL OPERATORS
PARTICLE PROPERTIES
QUANTUM OPERATORS
RELATIVISTIC RANGE
SPIN
SUPERGRAVITY
SUPERSYMMETRY
SYMMETRY