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We present a systematic construction of F-theory compactifications with Abelian gauge symmetries in addition to a non-Abelian gauge group G.
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J. Marsano, N. Saulina and S. Schafer-Nameki, “Compact F-theory GUTs with U(1) (PQ),” JHEP 1004
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T. W. Grimm and H. Hayashi, “F-theory fluxes, Chirality and Chern-Simons theories,” JHEP 1203
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