Gapless Foliated-Exotic Duality
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912962590015488 |
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| author | Ohmori, Kantaro Shimamura, Shutaro |
| author_facet | Ohmori, Kantaro Shimamura, Shutaro |
| contents | In this work, we construct a new foliated quantum field theory equivalent to the exotic $ϕ$-theory -- a fractonic gapless scalar field theory described by tensor gauge fields and exhibiting $U(1) \times U(1)$ subsystem global symmetry. This subsystem symmetry has an 't Hooft anomaly, which is captured by a subsystem symmetry-protected topological (SSPT) phase in one dimension higher via the anomaly inflow mechanism. By analyzing both the anomaly inflow structure and the foliated-exotic duality in the SSPT phases, we establish the foliated-exotic duality in the $ϕ$-theories. Furthermore, we also investigate the foliated-exotic duality in the $\hatϕ$-theory, which is dual to the $ϕ$-theory, and construct the foliated $\hatϕ$-theory. These are the first examples of the foliated-exotic duality in gapless theories. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_10835 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gapless Foliated-Exotic Duality Ohmori, Kantaro Shimamura, Shutaro Strongly Correlated Electrons High Energy Physics - Theory In this work, we construct a new foliated quantum field theory equivalent to the exotic $ϕ$-theory -- a fractonic gapless scalar field theory described by tensor gauge fields and exhibiting $U(1) \times U(1)$ subsystem global symmetry. This subsystem symmetry has an 't Hooft anomaly, which is captured by a subsystem symmetry-protected topological (SSPT) phase in one dimension higher via the anomaly inflow mechanism. By analyzing both the anomaly inflow structure and the foliated-exotic duality in the SSPT phases, we establish the foliated-exotic duality in the $ϕ$-theories. Furthermore, we also investigate the foliated-exotic duality in the $\hatϕ$-theory, which is dual to the $ϕ$-theory, and construct the foliated $\hatϕ$-theory. These are the first examples of the foliated-exotic duality in gapless theories. |
| title | Gapless Foliated-Exotic Duality |
| topic | Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.10835 |