Solutions of Free Higher Spins in AdS

Details Solutions of Free Higher Spins in AdS Solutions of Free Higher Spins in AdS

2011-10-06

arxiv.org/abs/1110.1138v2

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 1 figure, another class of solutions in D=3 added, typos corrected and reference added

Scientific paper

We consider free massive and massless higher integer spins in AdS backgrounds in general D dimensions. We obtain the solutions corresponding to the highest-weight state of the spin-\ell representations of the SO(2,D-1) isometry groups. The solution for the spin-\ell field is expressed recursively in terms of that for the spin-(\ell-1). Thus starting from the explicit spin-0, all the higher-spin solutions can be obtained. These solutions allow us to derive the generalized Breitenlohner-Freedman bound, and analyze the asymptotic falloffs. In particular, solutions with negative mass square in general have falloffs slower than those of the Schwarzschild AdS black holes in the AdS boundaries.

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