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Conformal multi-Regge theory

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arxiv 2305.10394 v2 pith:JHWZF5XN submitted 2023-05-17 hep-th

classification hep-th
keywords conformalreggefunctionstheoryblockscorrelationlimitoperators
verification ladder T0 review T1 audit T2 compute T3 formal
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We propose and explore the Regge limit for correlation functions of five local primary operators in conformal field theories. After reviewing some features of Regge theory for flat-space scattering amplitudes, we analyse the analytic structure of conformal blocks both in position and Mellin space in the Regge limit and propose an extension of conformal Regge theory for five-point functions. As a byproduct of our analysis we also introduce a new basis of three-point correlation functions for operators with spin and the associated Euclidean conformal blocks.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Imprint of the black hole interior on thermal four-point correlators

    hep-th 2025-12 conditional novelty 6.0 of 10

    Analytically continuing and smearing thermal four-point correlators turns them into flat-space scattering amplitudes at a bulk point inside the black hole.

  2. Lorentzian OPE Inversion Formula: A Geometric Perspective

    hep-th 2025-01 conditional novelty 5.0 of 10

    The Mellin transform of a Radon-transformed (auxiliary) four-point function reproduces the Lorentzian OPE partial wave amplitudes, giving a geometric projection-slice interpretation.

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