<p>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 <i>N</i> → 0 limits of Carrollian theories with <i>N</i>-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.</p>

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A finite Carrollian critical point

  • Jordan Cotler,
  • Prateksh Dhivakar,
  • Kristan Jensen

摘要

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 → 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.