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Scattering in D=5 super Yang-Mills theory and the relation to (2,0) theory

Erik Flink
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Abstract

Compactifying the A_1 version of (2,0) theory on a circle gives rise to five-dimensional, maximally supersymmetric Yang-Mills theory. In the Coulomb branch, where the SU(2) gauge group is spontaneously broken to a U(1) subgroup, the degrees of freedom are constituted by one massless and two massive vector multiplets. Because of the relation to the six-dimensional (2,0) theory, we are then interested in scattering processes where both the in-state and the out-state consist of one massless and one massive particle. We show that the corresponding part of the S matrix is determined by the symmetries of the theory up to a single unknown function, which depends on the energy and mass of the incoming particles, together with the scattering angle. Performing a straight forward scattering calculation by means of Feynman diagrams, this function is determined to leading order in a low-energy approximation. The result is strikingly simple, and it coincides exactly with the corresponding function in the (2,0) theory.

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Erik Flink. 2006-02-08. Scattering in D=5 super Yang-Mills theory and the relation to (2,0) theory. https://doi.org/10.1103/physrevd.73.066005

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