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  • Open Access

Universal constraints for conformal line defects

Barak Gabai1, Amit Sever2, and De-liang Zhong (钟德亮)3

  • 1Laboratory for Theoretical Fundamental Physics, EPFL, Route de la Sorge, CH-1015, Lausanne, Switzerland
  • 2School of Physics and Astronomy, Tel Aviv University, Ramat Aviv 69978, Israel
  • 3Theoretical Physics Group, The Blackett Laboratory, Imperial College London, Prince Consort Road London, SW7 2AZ, United Kingdom

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Phys. Rev. D 112, 065004 – Published 10 September, 2025

DOI: https://doi.org/10.1103/gsfg-wrps

Abstract

We present a novel framework for deriving integral constraints for correlators on conformal line defects. These constraints emerge from the nonlinearly realized ambient-space conformal symmetry. To validate our approach, we examine several examples and compare them against existing data for the four-point function of the displacement operator. Additionally, we provide a few new predictions that extend the current understanding of these correlators.

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Phys. Rev. D 112, 065004– Published 10 September, 2025
  • Received 25 February 2025
  • Accepted 11 August 2025
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