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

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 and the leading multi-OPE of this celestial CFT. Furthermore, we find a non-local 2-particle operator from the multi-OPE at the leading OPE. Although we studied a specific theory, the methods used are valid for general cases.