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arXiv 1809.01666hep-th
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F理论中的大U(1)荷

Large U(1) charges in F-theory

Nikhil Raghuram, Washington Taylor

摘要:

我们证明了在具有U(1)规范群的6D F理论模型中可以构造具有大交换荷(至少q = 21)的无质量场.为了证明这一点,我们明确地构造了具有非交换规范群的F理论维尔斯特拉斯模型,这些规范群可以被分解为具有各种大电荷的U(1)理论。确定这样一个理论所允许的最大阿贝尔荷是消除目前似乎是一个无限沼泽地的U(1)超引力理论与大荷明显一致的关键。

英文摘要:

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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