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- W3103264845 abstract "We study the charged chiral matter spectrum of four-dimensional F-theory compactifications on elliptically fibered Calabi-Yau fourfolds by using the dual M-theory description. A chiral spectrum can be induced by M-theory four-form flux on the fully resolved Calabi-Yau fourfold. In M-theory this flux yields three-dimensional Chern-Simons couplings in the Coulomb branch of the gauge theory. In the F-theory compactification on an additional circle these couplings are only generated by one-loop corrections with charged fermions running in the loop. This identification allows us to infer the net number of chiral matter fields of the four-dimensional effective theory. The chirality formulas can be evaluated by using the intersection numbers and the cones of effective curves of the resolved fourfolds. We argue that a study of the effective curves also allows to follow the resolution process at each co-dimension. To write simple chirality formulas we suggest to use the effective curves involved in the resolution process to determine the matter surfaces and to connect with the group theory at co-dimension two in the base. We exemplify our methods on examples with SU(5) and SU(5) × U(1) gauge group." @default.
- W3103264845 created "2020-11-23" @default.
- W3103264845 creator A5014358392 @default.
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- W3103264845 date "2012-03-01" @default.
- W3103264845 modified "2023-09-26" @default.
- W3103264845 title "F-theory fluxes, chirality and Chern-Simons theories" @default.
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- W3103264845 doi "https://doi.org/10.1007/jhep03(2012)027" @default.
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