Abstract

The generalized connections of the de Sitter algebra and anti-de Sitter 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 an 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.

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