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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2509.23797 |
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| _version_ | 1866915519991382016 |
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| author | Kong, Ziwen |
| author_facet | Kong, Ziwen |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_23797 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Integral Identities from Symmetry Breaking of Conformal Defects Kong, Ziwen High Energy Physics - Theory 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. |
| title | Integral Identities from Symmetry Breaking of Conformal Defects |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.23797 |