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| Format: | Preprint |
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2024
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| Online-Zugang: | https://arxiv.org/abs/2406.10518 |
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| _version_ | 1866913552281894912 |
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| author | Nakajima, Tatsuki Nakamura, Kikyo Sakai, Tadakatsu |
| author_facet | Nakajima, Tatsuki Nakamura, Kikyo Sakai, Tadakatsu |
| contents | We analyze higher-group structure of a 6d model coupled with a self-dual 2-form gauge field. This model is defined from 6d axion-electrodynamics with a 1-form Chern-Weil(CW) symmetry gauged dynamically. The gauging leads to a Green-Schwarz-West-Sagnotti(GSWS) term, which gives rise to an anomaly through a GSWS transformation acting on the 2-form gauge field. We cancel this anomaly by gauging a 3-form CW symmetry in 6d axion-electrodynamics. We find out the global symmetries in the resultant model and derive the gauge invariant action in the presence of the background gauge fields. It is argued that a discrete 1-form symmetry is anomalous because turning on the associated background gauge field causes quantum inconsistency due to an operator-valued ambiguity. Higher-group structure in this model that is manifested as a Green-Schwarz-like transformation for CW background gauge fields is discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_10518 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Note on higher-group structure in 6d self-dual gauge theory Nakajima, Tatsuki Nakamura, Kikyo Sakai, Tadakatsu High Energy Physics - Theory We analyze higher-group structure of a 6d model coupled with a self-dual 2-form gauge field. This model is defined from 6d axion-electrodynamics with a 1-form Chern-Weil(CW) symmetry gauged dynamically. The gauging leads to a Green-Schwarz-West-Sagnotti(GSWS) term, which gives rise to an anomaly through a GSWS transformation acting on the 2-form gauge field. We cancel this anomaly by gauging a 3-form CW symmetry in 6d axion-electrodynamics. We find out the global symmetries in the resultant model and derive the gauge invariant action in the presence of the background gauge fields. It is argued that a discrete 1-form symmetry is anomalous because turning on the associated background gauge field causes quantum inconsistency due to an operator-valued ambiguity. Higher-group structure in this model that is manifested as a Green-Schwarz-like transformation for CW background gauge fields is discussed. |
| title | Note on higher-group structure in 6d self-dual gauge theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.10518 |