Carrollian superconformal theories and super BMS

Understand

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.