Towards a Flat Space Carrollian Hologram from AdS${}_4$/CFT${}_3$

Abstract

Finding a concrete example holography in four dimensional asymptotically flat space is an important open problem. A natural strategy is to take the flat space limit of the celebrated AdS${}_4$/CFT${}_3$ correspondence, which relates M-theory in AdS${}_4\times$S${}^7$ to a certain superconformal Chern-Simons-matter theory known as the ABJM theory. In this limit, the boundary of AdS${}_4$ becomes null infinity and the ABJM theory should exhibit an emergent superconformal Carrollian symmetry. We investigate this possiblity by matching the Carrollian limit of ABJM correlators with four-dimensional supergravity amplitudes that arise from taking the flat space limit of AdS${}_4\times$S${}^7$ and reducing along the S${}^7$. We also present a general analysis of three-dimensional superconformal Carrollian symmetry.

arXiv commentv2. published in JHEP