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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 AdSd+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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https://hal.archives-ouvertes.fr/hal-01266425
Contributor : Xavier Bekaert <>
Submitted on : Tuesday, February 2, 2016 - 3:51:01 PM
Last modification on : Thursday, March 5, 2020 - 5:33:00 PM

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Xavier Bekaert, Johanna Erdmenger, Charlotte Sleight. Towards holographic higher-spin interactions: Four-point functions and higher-spin exchange. Journal of High Energy Physics, Springer Verlag (Germany), 2015, 1503, pp.170. ⟨10.1007/JHEP03(2015)170⟩. ⟨hal-01266425⟩

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