Factorizing Defects from Generalized Pinning Fields
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916679408156672 |
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| author | Popov, Fedor K. Wang, Yifan |
| author_facet | Popov, Fedor K. Wang, Yifan |
| contents | We introduce generalized pinning fields in conformal field theory that model a large class of critical impurities at large distance, enriching the familiar universality classes. We provide a rigorous definition of such defects as certain unbounded operators on the Hilbert space and prove that when inserted on codimension-one surfaces they factorize the spacetime into two halves. The factorization channels are further constrained by symmetries in the bulk. As a corollary, we solve such critical impurities in the 2d minimal models and establish the factorization phenomena previously observed for localized mass deformations in the 3d ${\rm O}(N)$ model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06203 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Factorizing Defects from Generalized Pinning Fields Popov, Fedor K. Wang, Yifan High Energy Physics - Theory Strongly Correlated Electrons Operator Algebras We introduce generalized pinning fields in conformal field theory that model a large class of critical impurities at large distance, enriching the familiar universality classes. We provide a rigorous definition of such defects as certain unbounded operators on the Hilbert space and prove that when inserted on codimension-one surfaces they factorize the spacetime into two halves. The factorization channels are further constrained by symmetries in the bulk. As a corollary, we solve such critical impurities in the 2d minimal models and establish the factorization phenomena previously observed for localized mass deformations in the 3d ${\rm O}(N)$ model. |
| title | Factorizing Defects from Generalized Pinning Fields |
| topic | High Energy Physics - Theory Strongly Correlated Electrons Operator Algebras |
| url | https://arxiv.org/abs/2504.06203 |