Symmetries of the Celestial Supersphere
Adam Tropper

TL;DR
This paper explores the supersymmetric extension of celestial holography by introducing the celestial supersphere, revealing new algebraic structures and their deformations related to bulk supersymmetry and twistor theory.
Contribution
It constructs the celestial supersphere framework and extends the BMS algebra to a supersymmetric version, connecting it with twistor theory and cosmological constant deformations.
Findings
Extension of BMS algebra to super-BMS algebra.
Relation of supersymmetric $L(w_{1+ abla}^\ ext{wedge})$ algebra to Hamiltonian vector fields.
Deformation of algebra by cosmological constant \(\Lambda\).
Abstract
We study the celestial CFT dual to theories with bulk supersymmetry. The boundary theory realizes supersymmetry in the spirit of the Green-Schwarz superstring: there is manifest 4d super-Poincar\'e symmetry, but no 2d superconformal symmetry. Nevertheless, we can extend the celestial sphere itself to a supermanifold -- the celestial supersphere. This provides a unified framework for describing key features of celestial holography, including conformally soft theorems, OPEs, and chiral soft algebras. Using these tools, we demonstrate that the algebra extends to a novel algebra. We also relate the supersymmetric algebra to Hamiltonian vector fields on , consistent with the expectation from twistor theory, and deduce the deformation of this algebra by a cosmological constant, . These…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeophysics and Gravity Measurements · Astro and Planetary Science · Scientific Research and Discoveries
