Anomaly-free multiple singularity enhancement in F-theory
Anomaly-free multiple singularity enhancement in F-theory
复制标题
F 理论中的无异常多重奇点增强
DOI：
10.1093/ptep/ptw087
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发表时间：
2016
影响因子：
3.5
通讯作者：
Shun'ya Mizoguchi,Taro Tani
中科院分区：
文献类型：
--
作者：
C. J. Lin;M. Hashisaka;K. Muraki;and T. Fujisawa;Shun'ya Mizoguchi,Taro Tani
我们在F-理论中研究了与家庭团聚模型建立相关的多重奇性增强的全局Calabi-Yau实现。我们考察了六维F-理论中7-膜上多个奇点的额外手性物质的产生与反常抵消一致的条件。结果表明，只有伴随着判别式的前导多项式轨迹的同时简并，使得手性物质的总量不变，额外物质的产生才是一致的。我们还表明，对于受限几何，预期出现的单态数目与复数结构模数的减少相匹配。
We study global Calabi—Yau realizations of multiple singularity enhancement relevant to family-unification model building in F-theory. We examine the conditions under which the generation of extra chiral matter at multiple singularities on 7-branes in 6D F-theory can be consistent with anomaly cancellation. It is shown that the generation of extra matter is consistent only if it is accompanied by simultaneous degenerations of loci of the leading polynomial of the discriminant so that the total amount of chiral matter does not change. We also show that the number of singlets expected to arise matches the decrease of the complex structure moduli for the restricted geometry.