Universal constraints for conformal line defects

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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.
Funding Information
  • Israel Science Foundation (1197/20, 1099/24)
  • Engineering and Physical Sciences Research Council (EP/Z000106/1)
  • Royal Society (URF\R1\221310)
  • Simons Collaboration

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