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Calogero-Sutherland Approach to Defect Blocks

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it
abstract

Extended objects such as line or surface operators, interfaces or boundaries play an important role in conformal field theory. Here we propose a systematic approach to the relevant conformal blocks which are argued to coincide with the wave functions of an integrable multi-particle Calogero-Sutherland problem. This generalizes a recent observation in 1602.01858 and makes extensive mathematical results from the modern theory of multi-variable hypergeometric functions available for studies of conformal defects. Applications range from several new relations with scalar four-point blocks to a Euclidean inversion formula for defect correlators.

fields

hep-th 2

years

2026 2

verdicts

UNVERDICTED 2

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representative citing papers

Aspects of Witten Diagrams for Holographic Defects

hep-th · 2026-06-16 · unverdicted · novelty 6.0

Derives explicit OPE coefficients for contact and exchange Witten diagrams and closed-form defect-to-bulk crossing kernels for zero- and surface defects in specific dimensions.

Thermal conformal partial waves from flat-space and defect CFT

hep-th · 2026-05-26 · unverdicted · novelty 6.0

Establishes correspondence between flat, thermal, and defect conformal partial waves via shadow formalism, obtaining thermal blocks from flat four-point and defect two-point functions and reducing the Casimir equation diagonally.

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Showing 2 of 2 citing papers after filters.

  • Aspects of Witten Diagrams for Holographic Defects hep-th · 2026-06-16 · unverdicted · none · ref 71 · internal anchor

    Derives explicit OPE coefficients for contact and exchange Witten diagrams and closed-form defect-to-bulk crossing kernels for zero- and surface defects in specific dimensions.

  • Thermal conformal partial waves from flat-space and defect CFT hep-th · 2026-05-26 · unverdicted · none · ref 77 · internal anchor

    Establishes correspondence between flat, thermal, and defect conformal partial waves via shadow formalism, obtaining thermal blocks from flat four-point and defect two-point functions and reducing the Casimir equation diagonally.