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arXiv · 1412.0016

Towards holographic higher-spin interactions: Four-point functions and higher-spin exchange

Xavier Bekaert·Johanna Erdmenger·Dmitry Ponomarev·Charlotte Sleight
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Abstract

Within holography, we calculate the contribution of an arbitrary spin-s gauge boson exchange in $AdS_{d+1}$ 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.

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Xavier Bekaert, Johanna Erdmenger, Dmitry Ponomarev, Charlotte Sleight. 2014-12-24. Towards holographic higher-spin interactions: Four-point functions and higher-spin exchange. https://arxiv.org/abs/1412.0016

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