New diagrammatic framework for higher-spin gravity
Abstract
We consider minimal type-A higher-spin (HS) gravity in four dimensions, at tree level. We propose new diagrammatic rules for this theory, involving both Fronsdal fields and Didenko-Vasiliev (DV) particles - linearized versions of HS gravity's "BPS black hole". The vertices include a standard minimal coupling between particle and gauge field, the Sleight-Taronna cubic vertex for HS fields, and a recently introduced vertex coupling two HS fields to a DV particle. We show how these ingredients can be combined to reproduce all n-point functions of the theory's holographic dual - the free O(N) vector model. Our diagrammatic rules interpolate between the usual ones of field theory and those of string theory. Our construction can be viewed as a bulk realization of HS algebra.
Keywords
Cite
@article{arxiv.2209.02185,
title = {New diagrammatic framework for higher-spin gravity},
author = {Yasha Neiman},
journal= {arXiv preprint arXiv:2209.02185},
year = {2023}
}
Comments
5 pages + 15 pages of appendices, 1 figure + 31 diagrams; v2: PRL version - expanded exposition and examples, corrected some combinatorics