Carrollian superconformal theories and super BMS
2022; Springer Nature; Volume: 2022; Issue: 5 Linguagem: Inglês
10.1007/jhep05(2022)044
ISSN1127-2236
AutoresArjun Bagchi, Daniel Grumiller, Poulami Nandi,
Tópico(s)Noncommutative and Quantum Gravity Theories
ResumoA bstract 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.
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