# Flato-Fronsdal theorem for higher-order singletons

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 $AdS_{d+1}$ with the aforementioned spectrum of fields, and a free $CFT_d$ 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.
Document type :
Journal articles

https://hal.archives-ouvertes.fr/hal-01104145
Contributor : Xavier Bekaert <>
Submitted on : Friday, January 16, 2015 - 11:24:19 AM
Last modification on : Friday, February 19, 2021 - 4:10:03 PM

### Identifiers

• HAL Id : hal-01104145, version 1
• ARXIV : 1410.7668

### Citation

Thomas Basile, Xavier Bekaert, Nicolas Boulanger. Flato-Fronsdal theorem for higher-order singletons. Journal of High Energy Physics, Springer Verlag (Germany), 2014, pp.131. ⟨hal-01104145⟩

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