Toric bases for 6D F‐theory models
Toric bases for 6D F‐theory models
复制标题
6D F 理论模型的环面底座
DOI：
10.1002/prop.201200086
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
W. Taylor
中科院分区：
文献类型：
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作者：
D. Morrison;W. Taylor
我们发现所有光滑复曲面基地，支持椭圆纤维卡拉比-丘三重，使用基地上的不可约有效因子的交叉结构。这些基可以用于六维量子超引力理论的F理论构造。有61，539个不同的可能复曲面基底。相关的6D超引力理论有许多张量多重态，范围从0到193。对于每个基地的显式Weierstrass参数化可以确定的复曲面数据。参数的复曲面计数与无质量场的引力异常约束相匹配。对于与具有大量张量多重态的理论相关的基础，存在一个包含多个不可约规范群因子的大型非希格斯玻色子规范群，特别是那些具有代数的规范群。八，？4、？g2？？(2)以最小的（非希格斯粒子）物质。
We find all smooth toric bases that support elliptically fibered Calabi‐Yau threefolds, using the intersection structure of the irreducible effective divisors on the base. These bases can be used for F‐theory constructions of six‐dimensional quantum supergravity theories. There are 61,539 distinct possible toric bases. The associated 6D supergravity theories have a number of tensor multiplets ranging from 0 to 193. For each base an explicit Weierstrass parameterization can be determined in terms of the toric data. The toric counting of parameters matches with the gravitational anomaly constraint on massless fields. For bases associated with theories having a large number of tensor multiplets, there is a large non‐Higgsable gauge group containing multiple irreducible gauge group factors, particularly those having algebras ?8, ?4, and ?g2 ⊕ ??(2) with minimal (non‐Higgsable) matter.