Gauge threshold corrections for local type-IIB/F-theory GUTs

Gauge threshold corrections for local type-IIB/F-theory GUTs
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本地 IIB/F 型理论 GUT 的规范阈值修正

DOI:
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发表时间:
2009
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通讯作者:
Eran Palti
Eran Palti
中科院分区:
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文献类型:
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作者:
J. Conlon;Eran Palti

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我们研究 IIB/F 理论中局部大统一理论模型的规范阈值修正。与超引力的全纯要求和卡普卢诺夫斯基-路易斯公式的一致性意味着统一尺度通过体半径$R$从弦尺度增强到${M}_{X}=R{M}_{S}$。我们认为,对此的严格解释是通过来自超电荷通量的局部未消除蝌蚪。这会将闭合弦模式传播到本体中——相当于开放弦规耦合,直至绕组刻度 ${M}_{X}$。 $R{M}_{s}$ 的增强与全局微不足道的超电荷通量打破大统一理论有关,并且将发生在实现该机制的所有模型中。
We study gauge threshold corrections for local grand unified theory models in IIB/F-theory. Consistency with holomorphy requirements of supergravity and the Kaplunovsky-Louis formula implies that the unification scale is enhanced by the bulk radius $R$ from the string scale to ${M}_{X}=R{M}_{S}$. We argue that the stringy interpretation of this is via a locally uncanceled tadpole sourced by the hypercharge flux. This sources closed string modes propagating into the bulk---equivalently open string gauge coupling running up to the winding scale ${M}_{X}$. The enhancement to $R{M}_{s}$ is tied to grand unified theory breaking by a globally trivial hypercharge flux and will occur in all models realizing this mechanism.