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@ARTICLE{Kong:638136,
      author       = {Kong, Ziwen},
      title        = {{I}ntegral {I}dentities from {S}ymmetry {B}reaking of
                      {C}onformal {D}efects},
      reportid     = {PUBDB-2025-03978, arXiv:2509.23797},
      pages        = {N/A},
      year         = {2025},
      note         = {12 pages, contribution to XVI International Workshop Lie
                      Theory and Its Applications in Physics},
      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.},
      month         = {Jun},
      date          = {2025-06-16},
      organization  = {XVI International Workshop Lie Theory
                       and Its Applications in Physics, Varna
                       (Bulgaria), 16 Jun 2025 - 22 Jun 2025},
      cin          = {T},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) /
                      BrokenSymmetries - Exact Results from Broken Symmetries
                      (101044226)},
      pid          = {G:(DE-HGF)POF4-611 / G:(EU-Grant)101044226},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2509.23797},
      howpublished = {arXiv:2509.23797},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2509.23797;\%\%$},
      url          = {https://bib-pubdb1.desy.de/record/638136},
}