Anomaly cancellation and abelian gauge symmetries in F-theory View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2013-02

AUTHORS

Mirjam Cvetič, Thomas W. Grimm, Denis Klevers

ABSTRACT

We study 4D F-theory compactifications on singular Calabi-Yau fourfolds with fluxes. The resulting effective theories can admit non-Abelian and U(1) gauge groups as well as charged chiral matter. In these setups we analyze anomaly cancellation and the generalized Green-Schwarz mechanism. This requires the study of 3D theories obtained by a circle compactification and their M-theory duals. Reducing M- theory on resolved Calabi-Yau fourfolds corresponds to considering the effective theory on the 3D Coulomb branch in which certain massive states are integrated out. Both 4D gaugings and 3D one-loop corrections of these massive states induce Chern-Simons terms. All 4D anomalies are captured by the one-loop terms. The ones corresponding to the mixed gauge-gravitational anomalies depend on the Kaluza-Klein vector and are induced by integrating out Kaluza-Klein modes of the U(1) charged matter. In M-theory all Chern-Simons terms classically arise from G4-flux. We find that F-theory fluxes implement automatically the 4D Green-Schwarz mechanism if non-trivial geometric relations for the resolved Calabi-Yau fourfold are satisfied. We confirm these relations in various explicit examples and elucidate the general construction of U(1) symmetries in F-theory. We also compare anomaly cancellation in F-theory with its analog in Type IIB orientifold setups. More... »

PAGES

101

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/jhep02(2013)101

DOI

http://dx.doi.org/10.1007/jhep02(2013)101

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1011286316


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