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Published December 2017 | Submitted + Published
Journal Article Open

M5-Brane and D-Brane Scattering Amplitudes

Abstract

We present tree-level n-particle on-shell scattering amplitudes of various brane theories with 16 conserved supercharges. These include the world-volume theory of a probe D3-brane or D5-brane in 10D Minkowski spacetime as well as a probe M5-brane in 11D Minkowski spacetime, which describes self interactions of an abelian tensor supermultiplet with 6D (2, 0) supersymmetry. Twistor-string-like formulas are proposed for tree-level scattering amplitudes of all multiplicities for each of these theories. The R symmetry of the D3-brane theory is shown to be SU(4) × U(1), and the U(1) factor implies that its amplitudes are helicity conserving. Each of 6D theories (D5-brane and M5-brane) reduces to the D3-brane theory by dimensional reduction. As special cases of the general M5-brane amplitudes, we present compact formulas for examples involving only the self-dual B field with n = 4, 6, 8.

Additional Information

© 2017 The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: October 30, 2017; Accepted: November 18, 2017; Published: December 1, 2017. We would like to thank Clifford Cheung, Song He, Yu-tin Huang, and Ellis Yuan for helpful discussions. This work was supported in part by the Walter Burke Institute for Theoretical Physics at Caltech and by U.S. DOE Grant DE-SC0011632. The work of CW is supported in part by a DOE Early Career Award under Grant No. DE-SC0010255 and by the NSF under Grant No. NSF PHY-1125915. Part of this work was performed by JHS at the Aspen Center for Physics, which is supported by National Science Foundation grant PHY-1607611.

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Published - 10.1007_2FJHEP12_2017_003.pdf

Submitted - 1710.02170.pdf

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