ABJM Amplitudes in U-gauge and a Soft Theorem

TL;DR

This paper advances the computation of all tree-level amplitudes in ABJM theory using a novel u-gauge approach, explicitly evaluates the 8-point amplitude, and derives a new double scalar soft theorem.

Contribution

Introduces a u-gauge for orthogonal Grassmannian integrals in ABJM theory, enabling explicit calculation of the 8-point amplitude and derivation of a new soft theorem.

Findings

Explicit 8-point amplitude in ABJM theory obtained.

Physical and spurious poles identified from the integral.

Double scalar soft theorem verified for known amplitudes.

Abstract

We report progress in computing and analyzing all tree amplitudes in ABJM theory. Inspired by the isomorphism between the orthogonal Grassmannian and the pure spinor geometries, we adopt a new gauge, called u-gauge, for evaluating the orthogonal Grassmannian integral for ABJM amplitudes. We carry out the integral explicitly for the 8-point amplitude and obtain the complete supersymmetric amplitude. The physical and spurious poles arise from the integral as expected from on-shell diagrams. We also derive a double scalar soft theorem of ABJM amplitudes and verify it for known amplitudes.