TY  - EJOUR
AU  - Kong, Ziwen
TI  - Integral Identities from Symmetry Breaking of Conformal Defects
IS  - arXiv:2509.23797
M1  - PUBDB-2025-03978
M1  - arXiv:2509.23797
SP  - N/A
PY  - 2025
N1  - 12 pages, contribution to XVI International Workshop Lie Theory and Its Applications in Physics
AB  - 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 <i>N</i> = 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.
T2  - XVI International Workshop Lie Theory and Its Applications in Physics
CY  - 16 Jun 2025 - 22 Jun 2025, Varna (Bulgaria)
Y2  - 16 Jun 2025 - 22 Jun 2025
M2  - Varna, Bulgaria
LB  - PUB:(DE-HGF)25
UR  - https://bib-pubdb1.desy.de/record/638136
ER  -