A Carroll Limit of AdS/CFT: A Triality with Flat Space Holography?

TL;DR

This paper introduces a new holographic duality based on a Carrollian limit of AdS/CFT, proposing a triality among Carroll string theory, flat space string theory, and Carroll gauge theory, with unique symmetry properties.

Contribution

It constructs a novel Carrollian holographic duality and proposes an underlying triality connecting different string and gauge theories, expanding holographic correspondence frameworks.

Findings

Established a Carrollian limit of AdS/CFT duality.

Proposed a triality linking Carroll string theory, flat space string theory, and Carroll gauge theory.

Analyzed the non-linear and non-closed symmetry structure of Carroll gauge theory.

Abstract

We construct a novel holographic duality by taking a Carrollian limit of the AdS/CFT correspondence, relating string theory in a Carroll bulk geometry to a Carroll $\mathcal{N}=4$ Super Yang-Mills theory. We further propose the existence of an underlying triality connecting Carroll string theory, relativistic string theory in flat spacetime, and Carroll gauge theory. Finally, we analyse the symmetries of the Carroll gauge theory, showing that they are non-linearly realised and do not close under ordinary Lie brackets.