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<p>We investigate anisotropic conformal Carroll field theories and their holographic duals. On the field theory side, we focus on the case with scaling exponent <i>z</i> = 0 in two and three spacetime dimensions. These theories exhibit infinite-dimensional symmetry algebras, including supertranslations and superrotations, and are closely related to, but distinct from, Warped Conformal Field Theories. We construct the associated Carrollian stress tensor, derive its transformation properties, and analyse the structure of correlation functions under different choices of vacua. On the gravity side, we identify specific plane-wave spacetime geometries realizing the global anisotropic conformal Carroll symmetries. We propose, for each scaling exponent, a phase space of asymptotically-plane wave spacetimes and show that the residual diffeomorphisms reproduce the expected infinite-dimensional conformal Carroll algebra, establishing a framework for anisotropic Carrollian holography.</p>

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Anisotropic conformal Carroll field theories and their gravity duals

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月5日

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  • Emilie Despontin,
  • Stéphane Detournay,
  • Sudipta Dutta,
  • Dima Fontaine

摘要

We investigate anisotropic conformal Carroll field theories and their holographic duals. On the field theory side, we focus on the case with scaling exponent z = 0 in two and three spacetime dimensions. These theories exhibit infinite-dimensional symmetry algebras, including supertranslations and superrotations, and are closely related to, but distinct from, Warped Conformal Field Theories. We construct the associated Carrollian stress tensor, derive its transformation properties, and analyse the structure of correlation functions under different choices of vacua. On the gravity side, we identify specific plane-wave spacetime geometries realizing the global anisotropic conformal Carroll symmetries. We propose, for each scaling exponent, a phase space of asymptotically-plane wave spacetimes and show that the residual diffeomorphisms reproduce the expected infinite-dimensional conformal Carroll algebra, establishing a framework for anisotropic Carrollian holography.