F理论中的超荷通量与稳定Sen极限
Hypercharge flux in F-theory and the stable Sen limit
摘要：
IIB紧化有可能通过通量打破GUT群，而不给超荷规范场质量。虽然这一重要的优点极大地激发了F理论的构建，但还没有这样的通量直接以M理论$G_4$形式构建。本文给出了构造超荷G流的一般方法。通过使用一个稳定的版本森的弱耦合极限，我们验证了它们与IIB通量的连接。我们说明了一些例子，包括一个紧凑的${\rm SU}(5) \times {\rm U}(1)$模型明确实现的双重三重态分裂的通量的升降机。最后，我们证明了一个等价性，在早期的工作作为一个副产品。
英文摘要：
IIB compactifications enjoy the possibility to break GUT groups via fluxes without giving mass to the hypercharge gauge field. Although this important advantage has greatly motivated F-theory constructions, no such fluxes have been constructed directly in terms of the M-theory $G_4$-form. In this note, we give a general prescription for constructing hypercharge G-fluxes. By using a stable version of Sen's weak coupling limit, we verify their connection with IIB fluxes. We illustrate the lift of fluxes in a number of examples, including a compact ${\rm SU}(5) \times {\rm U}(1)$ model with explicit realization of doublet-triplet splitting. Finally, we prove an equivalence conjectured in an earlier work as a by-product.
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