6d SCFTs and U(1) flavour symmetries
Abstract We study the behaviour of abelian gauge symmetries in six-dimensional N = (1,0) theories upon decoupling gravity and investigate abelian flavour symmetries in the context of 6d N = (1, 0) SCFTs. From a supergravity perspective, the anomaly cancellation mechanism implies that abelian gauge s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP11(2018)147 |
| _version_ | 1818117449505046528 |
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| author | Seung-Joo Lee Diego Regalado Timo Weigand |
| author_facet | Seung-Joo Lee Diego Regalado Timo Weigand |
| author_sort | Seung-Joo Lee |
| collection | DOAJ |
| description | Abstract We study the behaviour of abelian gauge symmetries in six-dimensional N = (1,0) theories upon decoupling gravity and investigate abelian flavour symmetries in the context of 6d N = (1, 0) SCFTs. From a supergravity perspective, the anomaly cancellation mechanism implies that abelian gauge symmetries can only survive as global symmetries as gravity is decoupled. The flavour symmetries obtained in this way are shown to be free of ABJ anomalies, and their ’t Hooft anomaly polynomial in the decoupling limit is obtained explicitly. In an F-theory realisation the decoupling of abelian gauge symmetries implies that a mathematical object known as the height pairing of a rational section is not contractible as a curve on the base of an elliptic Calabi-Yau threefold. We prove this prediction from supergravity by making use of the properties of the Mordell-Weil group of rational sections. In the second part of this paper we study the appearance of abelian flavour symmetries in 6d N = (1, 0) SCFTs. We elucidate both the geometric origin of such flavour symmetries in F-theory and their field theoretic interpretation in terms of suitable linear combinations of geometrically massive U(1)s. Our general results are illustrated in various explicit examples. |
| first_indexed | 2024-12-11T04:38:35Z |
| format | Article |
| id | doaj.art-0eacf07f541843e9a919814e1627bea0 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T04:38:35Z |
| publishDate | 2018-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-0eacf07f541843e9a919814e1627bea02022-12-22T01:20:41ZengSpringerOpenJournal of High Energy Physics1029-84792018-11-0120181115110.1007/JHEP11(2018)1476d SCFTs and U(1) flavour symmetriesSeung-Joo Lee0Diego Regalado1Timo Weigand2CERN, Theory DivisionCERN, Theory DivisionCERN, Theory DivisionAbstract We study the behaviour of abelian gauge symmetries in six-dimensional N = (1,0) theories upon decoupling gravity and investigate abelian flavour symmetries in the context of 6d N = (1, 0) SCFTs. From a supergravity perspective, the anomaly cancellation mechanism implies that abelian gauge symmetries can only survive as global symmetries as gravity is decoupled. The flavour symmetries obtained in this way are shown to be free of ABJ anomalies, and their ’t Hooft anomaly polynomial in the decoupling limit is obtained explicitly. In an F-theory realisation the decoupling of abelian gauge symmetries implies that a mathematical object known as the height pairing of a rational section is not contractible as a curve on the base of an elliptic Calabi-Yau threefold. We prove this prediction from supergravity by making use of the properties of the Mordell-Weil group of rational sections. In the second part of this paper we study the appearance of abelian flavour symmetries in 6d N = (1, 0) SCFTs. We elucidate both the geometric origin of such flavour symmetries in F-theory and their field theoretic interpretation in terms of suitable linear combinations of geometrically massive U(1)s. Our general results are illustrated in various explicit examples.http://link.springer.com/article/10.1007/JHEP11(2018)147Anomalies in Field and String TheoriesConformal and W SymmetryDifferential and Algebraic GeometryF-Theory |
| spellingShingle | Seung-Joo Lee Diego Regalado Timo Weigand 6d SCFTs and U(1) flavour symmetries Journal of High Energy Physics Anomalies in Field and String Theories Conformal and W Symmetry Differential and Algebraic Geometry F-Theory |
| title | 6d SCFTs and U(1) flavour symmetries |
| title_full | 6d SCFTs and U(1) flavour symmetries |
| title_fullStr | 6d SCFTs and U(1) flavour symmetries |
| title_full_unstemmed | 6d SCFTs and U(1) flavour symmetries |
| title_short | 6d SCFTs and U(1) flavour symmetries |
| title_sort | 6d scfts and u 1 flavour symmetries |
| topic | Anomalies in Field and String Theories Conformal and W Symmetry Differential and Algebraic Geometry F-Theory |
| url | http://link.springer.com/article/10.1007/JHEP11(2018)147 |
| work_keys_str_mv | AT seungjoolee 6dscftsandu1flavoursymmetries AT diegoregalado 6dscftsandu1flavoursymmetries AT timoweigand 6dscftsandu1flavoursymmetries |