Preprint

PUBDB-2025-04053

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Integral Identities from Symmetry Breaking of Conformal Defects

Kong, Z. (Corresponding author)DESY*

2025

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Please use a persistent id in citations: doi:10.3204/PUBDB-2025-04053

Report No.: DESY-25-168; arXiv:2509.23797

Abstract: In conformal field theory, the insertion of a defect breaks part of the global symmetry and gives rise to defect operators such as the tilts and displacements. We establish identities relating the integrated four-point functions of such operators to their two-point functions, derived both from the geometric properties of the defect conformal manifold, which is the symmetry-breaking coset, and from the Lie algebra of the corresponding broken symmetry generators. As an explicit example, we demonstrate these integral identities in the case of the 1/2 BPS Maldacena-Wilson loop in $\mathcal{N} = 4$ SYM. This contribution serves as a brief review of the main ideas of Phys. Rev. Lett. 129, 201603 (2022), as well as a short preview of our forthcoming paper with Nadav Drukker and Petr Kravchuk. Here we present an independent derivation of the integral identities that will not appear in that work.

Note: 12 pages, contribution to XVI International Workshop Lie Theory and Its Applications in Physics

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. BrokenSymmetries - Exact Results from Broken Symmetries (101044226) (101044226)

Experiment(s):

1. AXSIS: Frontiers in Attosecond X-ray Science, Imaging and Spectroscopy

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