SymTFT for Continuous Symmetries: Non-linear Realizations and Spontaneous Breaking
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| Format: | Preprint |
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2025
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| _version_ | 1866908535678304256 |
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| author | Bonetti, Federico Del Zotto, Michele Minasian, Ruben |
| author_facet | Bonetti, Federico Del Zotto, Michele Minasian, Ruben |
| contents | It is well known that continuous symmetries of quantum fields can be realized non-linearly, e.g. in the context of sigma models, and can also be spontaneously broken on non-compact spacetimes. In this note we study how these effects are realized in the context of the topological symmetry theory for continuous symmetries. In particular, we explain cosets realizations and their higher $p$-form symmetry versions from this perspective, as well as uplifts to higher groups and non-invertible symmetries. Moreover, using a setup with boundaries and corners, we explore spontaneous symmetry breaking scenarios for higher $p$-form symmetries as well as non-Abelian $0$-form symmetries. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_10343 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | SymTFT for Continuous Symmetries: Non-linear Realizations and Spontaneous Breaking Bonetti, Federico Del Zotto, Michele Minasian, Ruben High Energy Physics - Theory It is well known that continuous symmetries of quantum fields can be realized non-linearly, e.g. in the context of sigma models, and can also be spontaneously broken on non-compact spacetimes. In this note we study how these effects are realized in the context of the topological symmetry theory for continuous symmetries. In particular, we explain cosets realizations and their higher $p$-form symmetry versions from this perspective, as well as uplifts to higher groups and non-invertible symmetries. Moreover, using a setup with boundaries and corners, we explore spontaneous symmetry breaking scenarios for higher $p$-form symmetries as well as non-Abelian $0$-form symmetries. |
| title | SymTFT for Continuous Symmetries: Non-linear Realizations and Spontaneous Breaking |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.10343 |