Algebraic cycles and local anomalies in F-theory

• Verfasst von: Bies, Martin [VerfasserIn]
• Verfasst von: Mayrhofer, Christoph [VerfasserIn]
• Verfasst von: Weigand, Timo [VerfasserIn]
• Titel: Algebraic cycles and local anomalies in F-theory
• Verf.angabe: Martin Bies, Christoph Mayrhofer, and Timo Weigand
• Jahr: 2017
• Umfang: 45 S.
• Fussnoten: Gesehen am 18.12.2017
• Titel Quelle: Enthalten in: De.arxiv.org
• Ort Quelle: [S.l.] : Arxiv.org, 1991
• Jahr Quelle: 2017
• Band/Heft Quelle: (2017) Artikel-Nummer 1706.08528, 45 Seiten
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1566484944

Abstract

We introduce a set of identities in the cohomology ring of elliptic fibrations which are equivalent to the cancellation of gauge and mixed gauge-gravitational anomalies in F-theory compactifications to four and six dimensions. The identities consist in (co)homological relations between complex codimension-two cycles. The same set of relations, once evaluated on elliptic Calabi-Yau three-folds and four-folds, is shown to universally govern the structure of anomalies and their Green-Schwarz cancellation in six- and four-dimensional F-theory vacua, respectively. We furthermore conjecture that these relations hold not only within the cohomology ring, but even at the level of the Chow ring, i.e. as relations among codimension-two cycles modulo rational equivalence. We verify this conjecture in non-trivial examples with Abelian and non-Abelian gauge groups factors. Apart from governing the structure of local anomalies, the identities in the Chow ring relate different types of gauge backgrounds on elliptically fibred Calabi-Yau four-folds.