Carrollian superconformal theories and super BMS

Abstract

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 $$ \mathcal{N} $$ N = 1 CSA and work towards an understanding of the representation theory of the algebra. We conclude with some aspects of $$ \mathcal{N} $$ N > 1 CSA.