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arXiv · 2608.00185

Minimal Massive Gravity Coupled to Higher Spins

Franz Ciceri·Nihat Sadik Deger·Bastien Duboeuf·Henning Samtleben
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Abstract

Among three-dimensional massive gravities, Minimal Massive Gravity (MMG) is distinguished by a parameter regime in which the AdS bulk theory and the dual conformal field theory can be simultaneously unitary. We couple MMG to a finite tower of higher-spins by promoting the fields of its first-order formulation to $\mathfrak{sl}(N)$-valued ones. We also present an extended formulation involving a group-valued St\"uckelberg scalar, which realizes the higher-spin translations broken by the massive deformation. We then construct AdS$_2\times$S$^1$ solutions carrying higher-spin hair specific to the massive theory. Finally, we analyse the mass spectrum of the higher-spin modes around AdS$_3$.

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Franz Ciceri, Nihat Sadik Deger, Bastien Duboeuf, Henning Samtleben. 2026-07-31. Minimal Massive Gravity Coupled to Higher Spins. https://arxiv.org/abs/2608.00185

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