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arXiv 2602.02644hep-thgr-qcmath-phmath.MP
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Carrollian 物理与全息论

Carrollian Physics and Holography

Center for the Fundamental Laws of Nature, Harvard University（哈佛大学生命基本定律中心）；Black Hole Initiative, Harvard University（哈佛大学黑洞倡议）

Romain Ruzziconi

备注：
160 pages, 15 figures. Published in Phys.Rept. 1182 (2026)
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AI总结：

本文提出Carrollian全息论，将渐近平坦时空中的引力与一维Carrollian CFT对偶，通过极限过程揭示了全息对偶性。

摘要：

本文回顾了Carrollian物理的关键发展，重点强调其在渐近平坦时空全息框架中的作用。我们首先介绍Carrollian极限，即通过形式地将光速取为零，得到非相对论性收缩的庞加莱群。与这一极限相关的几何结构被描述，并论证其自然地出现在光锥超曲面，特别是光锥无穷远、黑洞和宇宙学视界。在此基础上，我们考察了支配渐近平坦引力的Bondi-Metzner-Sachs对称性和 conformal Carrollian 对称性的关系。通过在已知的相对论场论上实施极限，构造了显式的Carrollian场论例子，特别关注Carrollian CFT。然后我们提出Carrollian全息论，即渐近平坦时空中的引力与生活在光锥无穷远的一维Carrollian CFT之间存在对偶关系。在此框架中，光锥无穷远的位置空间中无质量的S矩阵自然地被重新解释为边界Carrollian CFT相关子，称为Carrollian振幅。我们强调它们与celestial振幅的关系，并展示它们如何通过在bulk中的平坦空间极限与边界上的Carrollian极限之间的对应关系，自然地从全息CFT相关子中出现。利用这一对应关系，我们提供了强有力的证据，表明平坦空间全息论起源于对AdS/CFT对偶两边应用的受控且一致的极限过程。最后，我们概述了该计划的未来方向和开放问题。

英文摘要：

This report reviews key developments in Carrollian physics with an emphasis on their role in the emerging framework of holography in asymptotically flat spacetimes. We begin by introducing the Carrollian limit, understood as a contraction of the Poincaré group obtained by formally taking the speed of light to zero. The geometric structures associated with this limit are described and argued to arise naturally on null hypersurfaces, most notably on null infinity, as well as black hole and cosmological horizons. Building on this, we examine the relation between the Bondi-Metzner-Sachs symmetries governing asymptotically flat gravity and the conformal Carrollian symmetries. Explicit examples of Carrollian field theories are constructed by implementing the limit on well-known relativistic field theories, with particular attention to Carrollian CFTs. We then present the Carrollian holography proposal, according to which gravity in asymptotically flat spacetimes is dual to a Carrollian CFT living at null infinity in one lower dimension. In this framework, the massless $\mathcal{S}$-matrix written in position space at null infinity is naturally reinterpreted in terms of boundary Carrollian CFT correlators, called Carrollian amplitudes. We highlight their relation to celestial amplitudes and show how they naturally emerge from holographic CFT correlators through a correspondence between the flat space limit in the bulk and the Carrollian limit at the boundary. Using this correspondence, we provide strong evidence that flat space holography arises from a controlled and consistent limiting procedure applied to both sides of the AdS/CFT duality. We conclude by outlining future directions and open questions in the program.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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