Supergravity as a Gauge Theory of Supersymmetry
Sep, 19766 pages
Published in:
- Nucl.Phys.B 129 (1977) 39-44
- Published: 1977
Report number:
- ICTP/75/22
Citations per year
Abstract: (Elsevier)
In a new approach to supergravity we consider the gauge theory of the 14-dimensional supersymmetry group. The theory is constructed from 14×4 gauge fields, 4 gauge fields being associated with each of the 14 generators of supersymmetry. The gauge fields corresponding to the 10 generators of the Poincaré subgroup are those normally associated with general relativity, and the gauge fields corresponding to the 4 generators of supersymmetry transformations are identified with a Rarita-Schwinger spinor. The transformation laws of the gauge fields and the Lagrangian of lowest degree are uniquely constructed from the supersymmetry algebra. The resulting action is shown to be invariant under these gauge transformations if the translation associated field strength vanishes. It is shown that the second-order form of the action, which is the same as that previously proposed, is invariant without constraint.- GAUGE FIELD THEORY: SUPERSYMMETRY
- GRAVITATION
- GROUP THEORY: LORENTZ
- general relativity
- TRANSFORMATION: SUPERSYMMETRY
- ALGEBRA: LIE
- FIELD THEORY: VECTOR
- FIELD THEORY: COMMUTATION RELATIONS
- FIELD EQUATIONS
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