The off-shell behaviour of propagators and the Goldstone field in higher spin gauge theory on $AdS_{d+1}$ space

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex, 18 pages, misprints corrected, references added, one section and one appendix added

Scientific paper

10.1016/j.nuclphysb.2005.03.038

A detailed analysis of the structure and gauge dependence of the bulk-to-bulk propagators for the higher spin gauge fields in $AdS$ space is performed. The possible freedom in the construction of the propagators is investigated and fixed by the correct boundary behaviour and correspondence to the representation theory results for the $AdS$ space isometry group. The classical origin of the Goldstone mode and its connection with the gauge fixing procedure is considered.

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