6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces

被引:38
作者
Martini, Gabriella [1 ]
Taylor, Washington [1 ]
机构
[1] MIT, Ctr Theoret Phys, Dept Phys, Cambridge, MA 02139 USA
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2015年 / 06期
基金
美国国家科学基金会;
关键词
F-Theory; Differential and Algebraic Geometry; Supergravity Models; COMPACTIFICATIONS;
D O I
10.1007/JHEP06(2015)061
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We 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.
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页数:39
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