't Hooft Anomalies and Defect Conformal Manifolds: Topological Signatures from Modulated Effective Actions
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915728983064576 |
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| author | Copetti, Christian |
| author_facet | Copetti, Christian |
| contents | Symmetry breaking of continuous symmetries by extended dynamical defects entails the existence of defect families, which form conformal manifolds in a critical setup. In the presence of bulk 't Hooft anomalies, defects are in fact required to break the symmetry: defect conformal manifolds are anomaly-enforced. We show that, by coupling the system to a modulated deformation parameter, the geometric structure of the conformal manifold is sensitive to the 't Hooft anomaly. This leads to measurable effects in the presence of a boundary/defect: in (1+1)d the anomaly predicts a quantized boundary charge pumping, while in higher dimensions it gives rise to non-dissipative boundary Hall currents. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_15466 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | 't Hooft Anomalies and Defect Conformal Manifolds: Topological Signatures from Modulated Effective Actions Copetti, Christian High Energy Physics - Theory Strongly Correlated Electrons Symmetry breaking of continuous symmetries by extended dynamical defects entails the existence of defect families, which form conformal manifolds in a critical setup. In the presence of bulk 't Hooft anomalies, defects are in fact required to break the symmetry: defect conformal manifolds are anomaly-enforced. We show that, by coupling the system to a modulated deformation parameter, the geometric structure of the conformal manifold is sensitive to the 't Hooft anomaly. This leads to measurable effects in the presence of a boundary/defect: in (1+1)d the anomaly predicts a quantized boundary charge pumping, while in higher dimensions it gives rise to non-dissipative boundary Hall currents. |
| title | 't Hooft Anomalies and Defect Conformal Manifolds: Topological Signatures from Modulated Effective Actions |
| topic | High Energy Physics - Theory Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2507.15466 |