Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-12-03
Phys.Lett.B501:134-139,2001
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, LaTeX
Scientific paper
10.1016/S0370-2693(01)00109-5
We extend to its spin~3/2 supersymmetric partner the very recent demonstration that the massless limit of massive spin~2 exchange amplitudes can be made continuous in background AdS spaces, in contrast to the known flat space discontinuities for both systems. In an AdS background, unlike spin~2 where the limit m\to0 is the massless one, spin~3/2 ``masslessness'' requires m\to\sqrt{-\Lambda/3}, the supergravity value tuning the mass and cosmological constant that uniquely provides gauge invariance and two helicities. We find that continuity of the spin~3/2--mediated exchange amplitude can be regained in two ``massless'' limits m\to0 and m\to\sqrt{-\Lambda/3}; only the latter corresponds to cosmological supergravity.
Deser Stanley
Waldron Andrew
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