Large U(1) charges in F-theory

Abstract

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.

arXiv comment32 pages; v2: References added

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• Hot New Early Dark Energy
• String Defects, Supersymmetry and the Swampland
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• Modular Curves and Mordell-Weil Torsion in F-theory
• The discrete Green-Schwarz mechanism in 6D F-Theory and Elliptic Genera of Non-Critical Strings
• Charge completeness and the massless charge lattice in F-theory models of supergravity
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• Large U(1) charges from flux breaking in 4D F-theory models
• Orders of Vanishing and U(1) Charges in F-theory