The Aharony-Bergman-Jafferis-Maldacena theory on a circle

TL;DR

This paper develops a bootstrap approach for 4-point correlators in the ABJM theory on a circle, leveraging 3D symmetries and dual inversion, providing insights into the spectrum and conformal blocks.

Contribution

It introduces a novel bootstrap method using dual inversion symmetry to analyze correlators in ABJM theory, bypassing crossing symmetry constraints.

Findings

Dual inversion symmetry can replace crossing symmetry in bootstrap

Conformal block expansion coefficients related to the spectrum

OPE spectrum extracted from multi-collinear limit

Abstract

In this work, we bootstrap the 4-point correlators on the 1D celestial circle using 3D symmetries in the Aharony-Bergman-Jafferis-Maldacena theory as constraints. We find that the dual inversion property is strong enough to replace the crossing symmetry condition (or cyclic invariant condition) when bootstrapping. We also give some results about the conformal block expansion coefficients which contain the spectrum. Furthermore, we extract the OPE spectrum from the multi-collinear limit since all 3-point ABJM amplitudes vanish. Although we studied a specific theory, the methods used are valid for more general cases.