Carrollian superconformal theories and super BMS

TL;DR

This paper explores supersymmetric extensions of Carrollian conformal symmetry relevant to flat space holography, constructing finite and infinite-dimensional superconformal algebras and analyzing their representations.

Contribution

It introduces a finite-dimensional Carrollian superconformal algebra and proposes an infinite-dimensional extension, advancing the understanding of supersymmetric boundary symmetries in flat space holography.

Findings

Constructed finite-dimensional Carrollian superconformal algebra

Proposed an infinite-dimensional lift of the algebra

Developed superspace formulation for $ abla=1$ case

Abstract

We investigate the supersymmetric versions of Bondi-Metzner-Sachs or, equivalently, conformal Carroll symmetry in boundary dimensions $d>3$, with applications of flat space holography in mind. We identify the contraction of the relativistic symmetry relevant for our purposes and construct a finite-dimensional Carrollian superconformal algebra (CSA) before proposing an infinite-dimensional lift. We provide the superspace formulation for $\mathcal{N}=1$ CSA and work towards an understanding of the representation theory of the algebra. We conclude with some aspects of $\mathcal{N}>1$ CSA.