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arXiv · 2511.20818

Three-dimensional non-relativistic chiral massive higher-spin gravity

Arpita Mitra·Debangshu Mukherjee·Tung Tran
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Abstract

We obtain a non-relativistic chiral massive higher-spin gravity in a deformed $AdS_3$ spacetime by applying a Lifshitz deformation and subsequent null reduction to chiral massless higher-spin gravity in $AdS_4$. Intriguingly, the vertices of this non-relativistic theory are less constrained than the ones of the original $4d$ chiral massless theory since we do not have enough dynamical generators to fix the couplings uniquely. Anticipating higher-spin interactions should be suppressed, we propose a simple approximate mass-spin relation which interpolates between the relativistic and non-relativistic regimes. With the proposed mass-spin relation, we observe that that higher-spin interactions indeed become suppressed at large spins, consistent with low-energy physics. We conjecture that the holographic dual of the non-relativistic chiral massive higher-spin gravity proposed in this work is a $2d$ non-relativistic Landau-Ginzburg theory in the light-cone gauge. This non-relativistic theory is expected to describe a two-fluid system with a $λ$-point constrained in one spatial dimension.

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Arpita Mitra, Debangshu Mukherjee, Tung Tran. 2026-05-29. Three-dimensional non-relativistic chiral massive higher-spin gravity. https://arxiv.org/abs/2511.20818

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