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arXiv 1303.3589hep-thhep-ph
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IIB中的超荷通量与F理论：反常与规范耦合统一

Hypercharge Flux in IIB and F-theory: Anomalies and Gauge Coupling Unification

Christoph Mayrhofer, Eran Palti, Timo Weigand

备注：
27 pages. v2: Expanded discussion on anomalies and showed that geometrically massive U(1)s of Peccei-Quinn type are compatible with hypercharge flux doublet-triplet splitting with no exotics
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摘要：

我们分析了超荷通量GUT打破F-理论/IIB型GUT模型方面的异常取消和规范耦合统一的影响。为了这个目的，我们利用IIB型限制，并考虑7膜配置，第一次保证表现出净超荷通量限制物质曲线。我们证明了在无质量谱中具有U（1）_Y-U（1）^2型反常的局部F理论模型只有在这样的附加U（1）是整体几何质量的情况下才是相容的（在这个意义上，它们是由卡-丘四重的非卡勒形变产生的）。此外，在几何上有质量的U（1）的情况下，超荷通量可以在无质量谱中诱导新的U（1）_Y^2-U（1）型异常，违反了局域模型中禁止这种异常的约束。特别地，这意味着有可能构造出具有U（1）_{PQ}全局对称性的模型，这些模型具有超荷通量双三重态分裂，并且没有进一步的外来子。我们还表明，已知的超荷通量诱导分裂的规范耦合在IIB模型在树级可以减少5倍，通过采用更多的F-理论扭曲的U（1）通量的超荷通量，使它在MSSM 2-回路的结果。在超荷通量对物质曲线的净限制的情况下，这种树能级分裂变得更加复杂，与某些闭弦场的真空期望值有关，因此规范耦合统一与模量稳定化问题有关。

英文摘要：

We analyse hypercharge flux GUT breaking in F-theory/Type IIB GUT models with regards to its implications for anomaly cancellation and gauge coupling unification. To this aim we exploit the Type IIB limit and consider 7-brane configurations that for the first time are guaranteed to exhibit net hypercharge flux restriction to matter curves. We show that local F-theory models with anomalies of type U(1)_Y-U(1)^2 in the massless spectrum can be consistent only if such additional U(1)s are globally geometrically massive (in the sense that they arise from non-Kahler deformations of the Calabi-Yau four-fold). Further, in such cases of geometrically massive U(1)s hypercharge flux can induce new anomalies of type U(1)_Y^2-U(1) in the massless spectrum, violating constraints in local models forbidding such anomalies. In particular this implies that it is possible to construct models exhibiting a U(1)_{PQ} global symmetry which have hypercharge flux doublet-triplet splitting and no further exotics. We also show that the known hypercharge flux induced splitting of the gauge couplings in IIB models at tree-level can be reduced by a factor of 5 by employing a more F-theoretic twisting of U(1) flux by hypercharge flux bringing it to well within MSSM 2-loop results. In the case of net restriction of hypercharge flux to matter curves this tree-level splitting becomes more involved, is tied to the vacuum expectation values of certain closed-string fields, and therefore gauge coupling unification becomes tied to the question of moduli stabilisation.

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