Topological terms and anomaly matching in effective field theories on ℝ3 × 𝕊1. Part I. Abelian symmetries and intermediate scales
Abstract We explicitly calculate the topological terms that arise in IR effective field theories for SU(N) gauge theories on ℝ3 × 𝕊1 by integrating out all but the lightest modes. We then show how these terms match all global-symmetry ’t Hooft anomalies of the UV description. We limit our discussion...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2021)091 |
| _version_ | 1818942267852849152 |
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| author | Erich Poppitz F. David Wandler |
| author_facet | Erich Poppitz F. David Wandler |
| author_sort | Erich Poppitz |
| collection | DOAJ |
| description | Abstract We explicitly calculate the topological terms that arise in IR effective field theories for SU(N) gauge theories on ℝ3 × 𝕊1 by integrating out all but the lightest modes. We then show how these terms match all global-symmetry ’t Hooft anomalies of the UV description. We limit our discussion to theories with abelian 0-form symmetries, namely those with one flavour of adjoint Weyl fermion and one or zero flavours of Dirac fermions. While anomaly matching holds as required, it takes a different form than previously thought. For example, cubic- and mixed-U(1) anomalies are matched by local background-field-dependent topological terms (background TQFTs) instead of chirallagrangian Wess-Zumino terms. We also describe the coupling of 0-form and 1-form symmetry backgrounds in the magnetic dual of super-Yang-Mills theory in a novel way, valid throughout the RG flow and consistent with the monopole-instanton ’t Hooft vertices. We use it to discuss the matching of the mixed chiral-center anomaly in the magnetic dual. |
| first_indexed | 2024-12-20T07:08:43Z |
| format | Article |
| id | doaj.art-4af270b0f9f84329b5b0f68552a053cd |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T07:08:43Z |
| publishDate | 2021-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-4af270b0f9f84329b5b0f68552a053cd2022-12-21T19:48:57ZengSpringerOpenJournal of High Energy Physics1029-84792021-01-012021116610.1007/JHEP01(2021)091Topological terms and anomaly matching in effective field theories on ℝ3 × 𝕊1. Part I. Abelian symmetries and intermediate scalesErich Poppitz0F. David Wandler1Department of Physics, University of TorontoDepartment of Physics, University of TorontoAbstract We explicitly calculate the topological terms that arise in IR effective field theories for SU(N) gauge theories on ℝ3 × 𝕊1 by integrating out all but the lightest modes. We then show how these terms match all global-symmetry ’t Hooft anomalies of the UV description. We limit our discussion to theories with abelian 0-form symmetries, namely those with one flavour of adjoint Weyl fermion and one or zero flavours of Dirac fermions. While anomaly matching holds as required, it takes a different form than previously thought. For example, cubic- and mixed-U(1) anomalies are matched by local background-field-dependent topological terms (background TQFTs) instead of chirallagrangian Wess-Zumino terms. We also describe the coupling of 0-form and 1-form symmetry backgrounds in the magnetic dual of super-Yang-Mills theory in a novel way, valid throughout the RG flow and consistent with the monopole-instanton ’t Hooft vertices. We use it to discuss the matching of the mixed chiral-center anomaly in the magnetic dual.https://doi.org/10.1007/JHEP01(2021)091Anomalies in Field and String TheoriesDiscrete SymmetriesSupersymmetric Gauge TheoryDuality in Gauge Field Theories |
| spellingShingle | Erich Poppitz F. David Wandler Topological terms and anomaly matching in effective field theories on ℝ3 × 𝕊1. Part I. Abelian symmetries and intermediate scales Journal of High Energy Physics Anomalies in Field and String Theories Discrete Symmetries Supersymmetric Gauge Theory Duality in Gauge Field Theories |
| title | Topological terms and anomaly matching in effective field theories on ℝ3 × 𝕊1. Part I. Abelian symmetries and intermediate scales |
| title_full | Topological terms and anomaly matching in effective field theories on ℝ3 × 𝕊1. Part I. Abelian symmetries and intermediate scales |
| title_fullStr | Topological terms and anomaly matching in effective field theories on ℝ3 × 𝕊1. Part I. Abelian symmetries and intermediate scales |
| title_full_unstemmed | Topological terms and anomaly matching in effective field theories on ℝ3 × 𝕊1. Part I. Abelian symmetries and intermediate scales |
| title_short | Topological terms and anomaly matching in effective field theories on ℝ3 × 𝕊1. Part I. Abelian symmetries and intermediate scales |
| title_sort | topological terms and anomaly matching in effective field theories on r3 𝕊1 part i abelian symmetries and intermediate scales |
| topic | Anomalies in Field and String Theories Discrete Symmetries Supersymmetric Gauge Theory Duality in Gauge Field Theories |
| url | https://doi.org/10.1007/JHEP01(2021)091 |
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