Gauge fields in (anti)-de Sitter space and Connections of its symmetry algebra

Details Gauge fields in (anti)-de Sitter space and Connections of its symmetry algebra Gauge fields in (anti)-de Sitter space and Connections of its symmetry algebra

2009-04-20

arxiv.org/abs/0904.2919v2

J.Phys.A42:385401,2009

Physics

High Energy Physics

High Energy Physics - Theory

37 pages; comments on p.24-25 are extended; references added

Scientific paper

10.1088/1751-8113/42/38/385401

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.

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