BPS Amplitudes, Helicity Supertraces and Membranes in M-Theory

Abstract

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.

15 pages

References in corpus (3)

• Two loops in eleven dimensions
• The low energy expansion of the one-loop type II superstring amplitude
• Space-Time Supersymmetry, IIA/B Duality and M-Theory

Cited by in corpus (6)

• Loops in exceptional field theory
• Cancellation of divergences up to three loops in exceptional field theory
• Emergence of $R^4$-terms in M-theory
• Vertex Operators for the Supermembrane and Background Field Matrix Theory
• M-theory duality and BPS-extended supergravity
• Refined Partition Functions for Open Superstrings with 4, 8 and 16 Supercharges