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Effective action of 6D F-theory with U(1) factors: rational sections make Chern-Simons terms jump

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Abstract

We derive the six-dimensional (1, 0) effective action arising from F-theory on an elliptically fibered Calabi-Yau threefold with multiple sections. The considered theories admit both non-Abelian and Abelian gauge symmetries. Our derivation employs the M-theory to F-theory duality in five-dimensions after circle reduction. Five-dimensional gauge and gravitational Chern-Simons terms are shown to arise at one-loop by integrating out massive Coulomb branch and Kaluza-Klein modes. In the presence of a non-holomorphic zero section, we find an improved systematic for performing the F-theory limit by using the concept of the extended relative Mori cone. In this situation Kaluza-Klein modes can become lighter than Coulomb branch modes and a jump in the Chern-Simons levels occurs. By determining Chern-Simons terms for various threefold examples we are able to compute the complete six-dimensional charged matter spectrum and show consistency with six-dimensional anomalies.

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  1. Max-Planck-Institut für Physik, Föhringer Ring 6, 80805, Munich, Germany

    Thomas W. Grimm, Andreas Kapfer & Jan Keitel

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  1. Thomas W. Grimm
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  2. Andreas Kapfer
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  3. Jan Keitel
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Correspondence to Andreas Kapfer.

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ArXiv ePrint: 1305.1929

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Grimm, T.W., Kapfer, A. & Keitel, J. Effective action of 6D F-theory with U(1) factors: rational sections make Chern-Simons terms jump. J. High Energ. Phys. 2013, 115 (2013). https://doi.org/10.1007/JHEP07(2013)115

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