Conformal Blocks in 2d Carrollian/Galilean CFTs and Excited State Entanglement Entropy

• URL: http://arxiv.org/abs/2510.25688v1
• Date: Wed, 29 Oct 2025 16:54:11 GMT
• Title: Conformal Blocks in 2d Carrollian/Galilean CFTs and Excited State Entanglement Entropy
• Authors: Peng-Xiang Hao, Shunta Takahashi,
• Abstract summary: We advance the study of flat space holography by computing the entanglement entropy of highly excited states in two-dimensional Carrollian/Galilean Conformal Field Theories.<n>Our approach is centered on a novel, physically intuitive derivation of the heavy-light conformal block in the large central charge limit.<n>Using this result and the replica trick, we find that the entanglement entropy of highly excited states assumes a thermal form.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We advance the study of flat space holography by computing the entanglement entropy of highly excited states in two-dimensional Carrollian/Galilean Conformal Field Theories (C/G CFTs). Our approach is centered on a novel, physically intuitive derivation of the heavy-light conformal block in the large central charge limit, where the backreaction of heavy operators is absorbed by a C/G conformal coordinate transformation. Using this result and the replica trick, we find that the entanglement entropy of highly excited states assumes a thermal form, providing a concrete realization of the Eigenstate Thermalization Hypothesis (ETH). This field-theoretic result perfectly reproduces the holographic entanglement entropy computed via the swing surface proposal in three-dimensional Einstein gravity, for backgrounds corresponding to spinning particles and Flat Space Cosmological solutions. This agreement establishes a precise dictionary relating the weight $\Delta$ and charge $\xi$ of the boundary state to the mass $m$ and angular momentum $j$ of the dual spacetime, offering a powerful consistency check for the Flat/CCFT correspondence.

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