Algebraic cycles and local anomalies in F-theory
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 codim...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
16 November 2017
|
| In: |
Journal of high energy physics
Year: 2017, Heft: 11 |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/JHEP11(2017)100 |
| Online-Zugang: | Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1007/JHEP11(2017)100 Verlag, kostenfrei, Volltext: https://link.springer.com/article/10.1007/JHEP11(2017)100 
|
| Verfasserangaben: | Martin Bies, Christoph Mayrhofer and Timo Weigand |
| Zusammenfassung: | 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. |
|---|---|
| Beschreibung: | Gesehen am 18.12.2017 |
| Beschreibung: | Online Resource |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/JHEP11(2017)100 |