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Large U(1) charges in F-theory. (English) Zbl 1402.83110

Summary: 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.

MSC:

83E50 Supergravity
83E30 String and superstring theories in gravitational theory

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