"Symmetry-from-Anomaly" in Condensed Matter related Constructions
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910999969267712 |
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| author | Xu, Cenke |
| author_facet | Xu, Cenke |
| contents | The noninvertible axial symmetry constructed from the ABJ-anomaly has attracted enormous interest. We discuss the mechanism of "symmetry-from-anomaly" in condensed matter-related models in both 1d and 3d spaces (which correspond to (1+1)d and (3+1)d space-time). Within the models discussed here, we establish the connection between field theory quantities such as different versions of the axial charge, and quantities with simple physical meanings in our systems. In our models and likely a class of related constructions, the existence of a topological order is necessary for the purpose of properly defining the axial symmetry. But the proper axial symmetry we define, though requires a topological order, is different from the noninvertible axial symmetry discussed in recent proposals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09127 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | "Symmetry-from-Anomaly" in Condensed Matter related Constructions Xu, Cenke Strongly Correlated Electrons High Energy Physics - Theory The noninvertible axial symmetry constructed from the ABJ-anomaly has attracted enormous interest. We discuss the mechanism of "symmetry-from-anomaly" in condensed matter-related models in both 1d and 3d spaces (which correspond to (1+1)d and (3+1)d space-time). Within the models discussed here, we establish the connection between field theory quantities such as different versions of the axial charge, and quantities with simple physical meanings in our systems. In our models and likely a class of related constructions, the existence of a topological order is necessary for the purpose of properly defining the axial symmetry. But the proper axial symmetry we define, though requires a topological order, is different from the noninvertible axial symmetry discussed in recent proposals. |
| title | "Symmetry-from-Anomaly" in Condensed Matter related Constructions |
| topic | Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.09127 |