M5-Brane and D-Brane Scattering Amplitudes

TL;DR

This paper derives tree-level scattering amplitudes for various brane theories with 16 supercharges, including D3, D5, and M5-branes, using twistor-string-like formulas and exploring their symmetries and reductions.

Contribution

It introduces twistor-string-like formulas for all multiplicities of brane scattering amplitudes, connecting different brane theories through dimensional reduction and providing explicit formulas for self-dual field cases.

Findings

Derived explicit tree-level amplitudes for D3, D5, and M5-branes.

Identified the R symmetry as SU(4)×U(1) for D3-branes.

Presented compact formulas for self-dual B field interactions.

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 $SU(4) \times U(1)$, 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 $n=4,6,8$.