Year: 2025
Type: article
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-Poincaré 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 b m s 4 algebra extends to a novel s b m s 4 | N algebra. We also relate the supersymmetric L ( w 1 + ∞ ∧ ) algebra to Hamiltonian vector fields on C 2 | N , consistent with the expectation from twistor theory, and deduce the deformation of this algebra by a cosmological constant, Λ. These results are all universal and independent of the specific details of the underlying theory.
Source: Classical and Quantum Gravity
Author: Adam Tropper
Institution: Harvard University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Award: G517807412
OpenAlex ID: W4411363144