N = 2 supersymmetry in the twistor description of higher-spin holography

A bstract We study the holographic duality between higher-spin (HS) gravity in 4d and free vector models in 3d, with special attention to the role of N = 2 supersymmetry (SUSY). For the type-A bosonic bulk theory, dual to spin-0 fields on the boundary, there exists a twistor-space description; this...

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Bibliographic Details
Published in:The journal of high energy physics 2024-05, Vol.2024 (5), p.341
Main Authors: Lang, Julian, Neiman, Yasha
Format: Article
Language:English
Subjects:
Black holes
Classical and Quantum Gravitation
Elementary Particles
Holography
Linearization
Operators (mathematics)
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Supersymmetry
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Summary:A bstract We study the holographic duality between higher-spin (HS) gravity in 4d and free vector models in 3d, with special attention to the role of N = 2 supersymmetry (SUSY). For the type-A bosonic bulk theory, dual to spin-0 fields on the boundary, there exists a twistor-space description; this maps both single-trace boundary operators and linearized bulk fields to spacetime-independent twistor functions, whose HS-algebra products compute all boundary correlators. Here, we extend this description to the type-B bosonic theory (dual to spin-1/2 fields on the boundary), and to the supersymmetric theory containing both. A key role is played by boundary bilocals, which in type-A are dual to the Didenko-Vasiliev 1/2-BPS “black hole”. We extend this to an infinite family of linearized 1/2-BPS “black hole” solutions. Remarkably, the full supersymmetric theory (along with the SUSY generators) fits in the same space of twistor functions as the type-A theory. Instead of two sets of bosonic bulk fields, the formalism sees one set of linearized fields, but with both types of boundary data allowed.
ISSN:1029-8479
DOI:10.1007/JHEP05(2024)341