BPS Amplitudes, Helicity Supertraces and Membranes in M-Theory

Details BPS Amplitudes, Helicity Supertraces and Membranes in M-Theory BPS Amplitudes, Helicity Supertraces and Membranes in M-Theory

1999-12-22

arxiv.org/abs/hep-th/9912225v1

Phys.Lett.B477:299-308,2000

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

10.1016/S0370-2693(00)00137-4

We study BPS dominated loop amplitudes in M-theory on T^2. For this purpose we generalize the concept of helicity supertraces to nine spacetime dimensions. These traces distinguish between various massive supermultiplets and appear as coefficients in their one-loop contributions to n-graviton scattering amplitudes. This can be used to show that only ultrashort BPS multiplets contribute to the R^4 term in the effective action, which was first computed by Green, Gutperle and Vanhove. There are two inequivalent ultrashort BPS multiplets which describe the Kaluza-Klein states and the wrapped membranes that cover the torus a number of times. From the perspective of the type-II strings they correspond to momentum and winding states and D0 or D1 branes.

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