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

Keywords

• AdS-CFT Correspondence
• Conformal and W Symmetry
• Gauge-Gravity Correspondence
• Space-Time Symmetries