Gauging generalised symmetries in linear gravity
Abstract The theory of a free spin-2 field on Minkowski spacetime has 1-form and (d − 3)-form symmetries associated with conserved currents formed by contractions of the linearised Riemann tensor with conformal Killing-Yano 2-forms. We show that a subset of these can be interpreted as Noether curren...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)145 |
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| author | Chris Hull Maxwell L. Hutt Ulf Lindström |
| author_facet | Chris Hull Maxwell L. Hutt Ulf Lindström |
| author_sort | Chris Hull |
| collection | DOAJ |
| description | Abstract The theory of a free spin-2 field on Minkowski spacetime has 1-form and (d − 3)-form symmetries associated with conserved currents formed by contractions of the linearised Riemann tensor with conformal Killing-Yano 2-forms. We show that a subset of these can be interpreted as Noether currents for specific shift symmetries of the graviton that involve a Killing vector and a closed 1-form parameter. We give a systematic method to gauge these 1-form symmetries by coupling the currents to background gauge fields and introducing a particular set of counter-terms involving the background fields. The simultaneous gauging of certain pairs of 1-form and (d − 3)-form symmetries is obstructed by the presence of mixed ’t Hooft anomalies. The anomalous pairs of symmetries are those which are related by gravitational duality. The implications of these anomalies are discussed. |
| format | Article |
| id | doaj-art-160be54cdbb94bef92d400d3175372d9 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-160be54cdbb94bef92d400d3175372d92025-02-09T12:07:06ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025114310.1007/JHEP01(2025)145Gauging generalised symmetries in linear gravityChris Hull0Maxwell L. Hutt1Ulf Lindström2The Blackett Laboratory, Imperial College LondonThe Blackett Laboratory, Imperial College LondonThe Blackett Laboratory, Imperial College LondonAbstract The theory of a free spin-2 field on Minkowski spacetime has 1-form and (d − 3)-form symmetries associated with conserved currents formed by contractions of the linearised Riemann tensor with conformal Killing-Yano 2-forms. We show that a subset of these can be interpreted as Noether currents for specific shift symmetries of the graviton that involve a Killing vector and a closed 1-form parameter. We give a systematic method to gauge these 1-form symmetries by coupling the currents to background gauge fields and introducing a particular set of counter-terms involving the background fields. The simultaneous gauging of certain pairs of 1-form and (d − 3)-form symmetries is obstructed by the presence of mixed ’t Hooft anomalies. The anomalous pairs of symmetries are those which are related by gravitational duality. The implications of these anomalies are discussed.https://doi.org/10.1007/JHEP01(2025)145Classical Theories of GravityField Theories in Higher DimensionsGauge Symmetry |
| spellingShingle | Chris Hull Maxwell L. Hutt Ulf Lindström Gauging generalised symmetries in linear gravity Journal of High Energy Physics Classical Theories of Gravity Field Theories in Higher Dimensions Gauge Symmetry |
| title | Gauging generalised symmetries in linear gravity |
| title_full | Gauging generalised symmetries in linear gravity |
| title_fullStr | Gauging generalised symmetries in linear gravity |
| title_full_unstemmed | Gauging generalised symmetries in linear gravity |
| title_short | Gauging generalised symmetries in linear gravity |
| title_sort | gauging generalised symmetries in linear gravity |
| topic | Classical Theories of Gravity Field Theories in Higher Dimensions Gauge Symmetry |
| url | https://doi.org/10.1007/JHEP01(2025)145 |
| work_keys_str_mv | AT chrishull gauginggeneralisedsymmetriesinlineargravity AT maxwelllhutt gauginggeneralisedsymmetriesinlineargravity AT ulflindstrom gauginggeneralisedsymmetriesinlineargravity |