Gauge fields in (anti)-de Sitter space and Connections of its symmetry algebra
arXiv:0904.2919 · doi:10.1088/1751-8113/42/38/385401
Abstract
The generalized connections of the (anti)-de Sitter space symmetry algebra, which are differential forms of arbitrary degree with values in any irreducible (spin)-tensor representation of the (anti)-de Sitter algebra, are studied. It is shown that arbitrary-spin gauge field in (anti)-de Sitter space, massless or partially-massless, can be described by a single connection. A 'one-to-one' correspondence between the connections of the (anti)-de Sitter algebra and the gauge fields is established. The gauge symmetry is manifest and auxiliary fields are automatically included in the formalism.
37 pages; comments on p.24-25 are extended; references added
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- Arbitrary spin conformal fields in (A)dS
- Frame-like Actions for Massless Mixed-Symmetry Fields in Minkowski space. Fermions
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