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...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
16 November 2017
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| In: |
Journal of high energy physics
Year: 2017, Issue: 11 |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/JHEP11(2017)100 |
| Online Access: | 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 
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| Author Notes: | Martin Bies, Christoph Mayrhofer and Timo Weigand |
| Summary: | 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. |
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| Item Description: | Gesehen am 18.12.2017 |
| Physical Description: | Online Resource |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/JHEP11(2017)100 |