6d SCFTs and U(1) flavour symmetries

• Verfasst von: Lee, Seung-Joo [VerfasserIn]
• Verfasst von: Regalado, Diego [VerfasserIn]
• Verfasst von: Weigand, Timo [VerfasserIn]
• Titel: 6d SCFTs and U(1) flavour symmetries
• Verf.angabe: Seung-Joo Lee, Diego Regalado and Timo Weigand
• E-Jahr: 2018
• Jahr: November 23, 2018
• Umfang: 51 S.
• Fussnoten: Gesehen am 21.06.2019
• Titel Quelle: Enthalten in: Journal of high energy physics
• Ort Quelle: Berlin : Springer, 1997
• Jahr Quelle: 2018
• Band/Heft Quelle: (2018,11) Artikel-Nummer 147, 51 Seiten
• ISSN Quelle: 1029-8479
• DOI: doi:10.1007/JHEP11(2018)147
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Anomalies in Field and String Theories
• Sach-SW: Conformal and W Symmetry
• Sach-SW: Differential and Algebraic Geometry
• Sach-SW: F-Theory
• K10plus-PPN: 158617889X

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.