Towards holographic higher-spin interactions: Four-point functions and higher-spin exchange
Abstract
Within holography, we calculate the contribution of an arbitrary spin-s gauge boson exchange in to the four-point function with scalar operators on the boundary. As an important ingredient, we first compute the complete bulk-to-bulk propagators for massless bosonic higher-spin fields in the metric-like formulation, in any dimension and in various gauges. The split representation of the bulk-to-bulk propagators in terms of bulk-to-boundary propagators allows to present the higher-spin exchange diagram in the form of a conformal partial wave expansion. Our results provide a step towards the larger goal of the holographic reconstruction of bulk interactions, and of clarifying bulk locality.
Cite
@article{arxiv.1412.0016,
title = {Towards holographic higher-spin interactions: Four-point functions and higher-spin exchange},
author = {Xavier Bekaert and Johanna Erdmenger and Dmitry Ponomarev and Charlotte Sleight},
journal= {arXiv preprint arXiv:1412.0016},
year = {2014}
}
Comments
54 pages, 6 figures, references added, minor corrections