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 $Ad{S}_{d+1}$ 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.

19 pages, no figures

References in corpus (4)

• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism
• A Fiber Approach to Harmonic Analysis of Unfolded Higher-Spin Field Equations
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: II. Oscillator Realization
• On Singleton Composites in Non-compact WZW Models

Cited by in corpus (1)

• One Loop Tests of Supersymmetric Higher Spin $Ad{S}_4/CF{T}_3$