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arXiv · 2504.12289

A finite Carrollian critical point

Jordan Cotler·Prateksh Dhivakar·Kristan Jensen
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Abstract

We construct examples of renormalizable Carrollian theories with finite effective central charge and non-trivial dynamics. These include critical points that are not scale-invariant but rather exhibit hyperscaling violation. All of our examples are mildly non-Lagrangian, in that they arise from suitable $N\to 0$ limits of Carrollian theories with $N$-component fields, including limits of Carrollian vector models and non-abelian gauge theories. We discuss implications for flat space holography, highlighting challenges in realizing Carrollian duals to gravitational theories.

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Jordan Cotler, Prateksh Dhivakar, Kristan Jensen. 2025-04-16. A finite Carrollian critical point. https://arxiv.org/abs/2504.12289

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