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arXiv · 2511.07408

Higher Spins, Holography and Exotic Matter

Carlo Iazeolla·Per Sundell
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Abstract

We review a new perspective on higher-spin holography, whereby Vasiliev's 4D higher-spin gravity emerges together with a 3D counterpart, consisting of coloured conformal matter fields coupled to topological conformal higher-spin and colour gauge fields, as two distinct reductions, characterised by dual structure groups, of a common parent model. The latter is given by a non-commutative AKSZ sigma model consisting on-shell of a flat superconnection valued in a fractional-spin extension of Fradkin-Vasiliev's higher-spin algebra. In particular, we highlight an intermediate 4D reduction, referred to fractional-spin gravity, consisting of exotic matter, in the form of coloured singletons, coupled to higher-spin and colour gauge fields.

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Carlo Iazeolla, Per Sundell. 2025-11-10. Higher Spins, Holography and Exotic Matter. https://arxiv.org/abs/2511.07408

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