Topological gravity and supergravity in various dimensions
May 29, 199022 pages
Published in:
- Nucl.Phys.B 346 (1990) 213-234
- Published: 1990
Report number:
- PRINT-90-0350 (ZURICH)
View in:
Citations per year
Abstract: (Elsevier)
Topological theories of gravity are constructed in odd-dimensional space-times of dimensions 2 n + 1, using the Chern-Simons (2 n + 1)-forms and with the gauge groups ISO(1, 2 n ) or SO(1, 2 n + 1) or SO(2, 2 n ). In even dimensions the presence of a scalar field in the fundamental representation of the gauge group is needed, besides the gauge field. Supersymmetrization of the de Sitter groups can be performed up to a maximal dimension of seven, but there is no limit on the super-Poincaré groups. The different phases of the topological theory are investigated. It is argued that these theories are finite. It is shown that the graviton propagates in a perturbative sense around a non-trivial background.- gravitation
- supergravity
- field theory: topological
- field theory: any-dimensional
- gauge field theory: SO(N,M)
- Chern-Simons term
- field theory: action
- propagator: graviton
References(38)
Figures(0)