Gauge theory of gravity and supergravity on a group manifold

Technical Report · Thu Dec 01 04:00:00 EST 1977

DOI:https://doi.org/10.2172/6713251· OSTI ID:6713251

Ne'eman, Y.; Regge, T.

The natural arena for the physics of gravity, supergravity and their enlargements appears to be the group manifold of the Poincare group P, the graded Poincare group GP of supersymmetry, and the corresponding enlargements. The dynamics of these theories correspond to geometrical algorithms in P and GP. Differential geometry on Lie groups is reviewed and results applied to P and GP. Curvature, gauge transformations and factorization are introduced. Also reviewed is the general coordinate transformation group and a hybrid gauge transformation, the anholonomized G.C.T. gauge. A study is made of the construction of an action, including the introduction of a set of special 2 forms, the ''pseudo curvatures.'' The possibilities of factorization in supersymmetry are analyzed. The version of supergravity is present which has now become a completely geometrical theory.

• Research Organization: Tel Aviv Univ. (Israel); Texas Univ., Austin (USA). Center for Particle Theory; Institute for Advanced Study, Princeton, NJ (USA); Turin Univ. (Italy). Istituto di Fisica
• OSTI ID: 6713251
• Report Number(s): ORO-3992-328
• 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
FACTORIZATION
GAUGE INVARIANCE
GEOMETRY
GRAVITATION
GROUP THEORY
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICS
POINCARE GROUPS
SUPERGRAVITY
SYMMETRY GROUPS