Carrollian superconformal theories and super BMS

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.

arXiv comment30 pages + 4 appendices, v2: references added, accepted for publication in JHEP

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• Carrollian Perspective on Celestial Holography
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• Carroll covariant scalar fields in two dimensions
• Carroll fermions in two dimensions
• Symmetry group at future null infinity I: Scalar theory
• Carrollian Yang-Mills Theory
• Circuit Complexity for Carrollian Conformal (BMS) Field Theories
• Flat Bands and Compact Localised States: A Carrollian roadmap
• Galilean fermions: Classical and quantum aspects
• Asymptotic symmetries in Carrollian theories of gravity with a negative cosmological constant