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Large U(1) charges in F-theory

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arxiv 1809.01666 v2 pith:PEZMTDZ5 submitted 2018-09-05 hep-th

Large U(1) charges in F-theory

classification hep-th
keywords chargeslargef-theoryabeliangaugemodelstheoriesallowed
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that massless fields with large abelian charges (up to at least q = 21) can be constructed in 6D F-theory models with a U(1) gauge group. To show this, we explicitly construct F-theory Weierstrass models with nonabelian gauge groups that can be broken to U(1) theories with a variety of large charges. Determining the maximum abelian charge allowed in such a theory is key to eliminating what seems currently to be an infinite swampland of apparently consistent U(1) supergravity theories with large charges.

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