Gravity and supergravity as gauge theories on a group manifold. [Lorentz gauge]

Technical Report · Wed Mar 01 04:00:00 EST 1978

DOI:https://doi.org/10.2172/6713246· OSTI ID:6713246

Ne'eman, Y.; Regge, T.

Generalizations of gravity, including supergravity are constructed by writing the theory on the group manifold (Poincare for gravity, the graded-Poincare group for supergravity). The action involves forms over the group, restricted to a 4-dimensional submanifold. The equations of motion produce a Lorentz-gauge in gravity and supergravity, and an additional anholonomic supersymmetric coordinate transformation which reduces to the ''local supersymmetry'' of supergravity.

• Research Organization: Tel Aviv Univ. (Israel). Dept. of Physics and Astronomy; Texas Univ., Austin (USA). Center for Particle Theory; Institute for Advanced Study, Princeton, NJ (USA); Turin Univ. (Italy). Istituto di Fisica
• Sponsoring Organization: US Energy Research and Development Administration (ERDA)
• OSTI ID: 6713246
• Report Number(s): ORO-3992-333
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COORDINATES
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
GRAVITATION
INVARIANCE PRINCIPLES
LIE GROUPS
LORENTZ TRANSFORMATIONS
POINCARE GROUPS
SUPERGRAVITY
SYMMETRY GROUPS
TRANSFORMATIONS