6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces
6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces
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6D F 理论模型和半复曲面基面上的三倍椭圆纤维 Calabi-Yau
DOI：
10.1007/jhep06(2015)061
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发表时间：
2014
影响因子：
5.4
通讯作者：
W. Taylor
中科院分区：
文献类型：
--
作者：
Gabriella Martini;W. Taylor
本文系统地研究了一类由环面结构推广的基曲面构造的6维F-理论模型及其相应的Calabi-Yau三重性。特别是，我们确定所有光滑表面的结构不变下的一个单一的C行动（有时被称为“T-品种”的数学文献），可以作为基地的椭圆纤维化与部分的卡-丘三倍。我们确定了162,404个不同的基地，其中包括作为一个子集，以前研究的严格复曲面基地。以这种方式构造的卡-丘三重模型包括了以前未知的霍奇数。也有一些基底上的一般椭圆纤维化有一个非零秩的莫德尔-韦伊截面群，对应于6D超引力模型中的非希格斯U（1）因子;这种类型的结构在纯复曲面背景下的一般椭圆纤维化中不会出现。
A bstractWe carry out a systematic study of a class of 6D F-theory models and associated Calabi-Yau threefolds that are constructed using base surfaces with a generalization of toric structure. In particular, we determine all smooth surfaces with a structure invariant under a single C∗ action (sometimes called “T-varieties” in the mathematical literature) that can act as bases for an elliptic fibration with section of a Calabi-Yau threefold. We identify 162,404 distinct bases, which include as a subset the previously studied set of strictly toric bases. Calabi-Yau threefolds constructed in this fashion include examples with previously unknown Hodge numbers. There are also bases over which the generic elliptic fibration has a Mordell-Weil group of sections with nonzero rank, corresponding to non-Higgsable U(1) factors in the 6D supergravity model; this type of structure does not arise for generic elliptic fibrations in the purely toric context.
卡拉比丘动物园规模扩大三倍
影响因子：
1.7
作者：
Davies R
通讯作者：
Davies R
全局 F 理论 GUT 中的阿贝尔规范对称性和质子衰变
影响因子：
5
作者：
T. W. Grimm;T. Weigand
通讯作者：
T. Weigand