Abstract
The 6d effective action of F-theory compactified on an elliptically fibred CalabiYau threefold is determined using an M-theory lift. The non-Abelian gauge theory arises on a stack of seven-branes located on the singularities of the threefold. The gauge theory is analysed in the 5d Coulomb branch by resolving the Calabi-Yau threefold. The reduction includes an arbitrary number of 6d tensor multiplets for which the self- and anti-self duality constraints can be imposed in the 5d M-theory set-up. Higher curvature terms are crucial for anomaly cancellation in six dimensions, and are obtained from corrections to the 11d supergravity action. The chiral spectrum in a 6d supergravity theory is linked to the form of the Green-Schwarz couplings via anomalies. We find that these data are encoded in the 5d effective action via one loop corrections.
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ArXiv ePrint: 1112.1082
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Bonetti, F., Grimm, T.W. Six-dimensional (1,0) effective action of F-theory via M-theory on Calabi-Yau threefolds. J. High Energ. Phys. 2012, 19 (2012). https://doi.org/10.1007/JHEP05(2012)019
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DOI: https://doi.org/10.1007/JHEP05(2012)019