Flato-Fronsdal theorem for higher-order singletons

DOI10.1007/JHEP11(2014)131zbMATH Open1333.81441arXiv1410.7668OpenAlexW3100657362MaRDI QIDQ271398

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Publication date: 7 April 2016

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Abstract: We prove a generalised Flato-Fronsdal theorem for higher-order, scalar and spinor, singletons. In the resulting infinite tower of bulk higher-spin fields, we point out the occurrence of partially-massless fields of all depths. This leads us to conjecture a holographic duality between a higher-spin gravity theory around $Ad{S}_{d+1}$ with the aforementioned spectrum of fields, and a free $CF{T}_d$ of fundamental (higher-order) scalar and spinor singletons. As a first check of this conjecture, we find that the total Casimir energy vanishes at one loop.

Full work available at URL: https://arxiv.org/abs/1410.7668

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