论文标题
1340亿个相交的brane型号
134 Billion Intersecting Brane Models
论文作者
论文摘要
绳索真空吸尘器的景观非常大，但通常预计尺寸有限。列举真空的数量和特性是景观和沼泽地的重要任务，部分是为了更深入地了解可能的东西和“通用”。我们获得了$ \ mathbb {t}^6/\ mathbb {z} _2 \ times \ times \ times \ mathbb {z} _2 _2 $ orientifold的$ \ mathbb {t}^6/\ mathbb {t}^6/\ mathbb {t}^6/\ mathbb {t}^6/\ mathbb {t}^6/\ mathbb {t}^6/\ mathbb {t}^6/\ mathbb {t}^6/\ mathbb {护理仅用于计算量规授予的brane构型。利用可以将麸皮添加在一起的递归性质，我们使用动态编程有效地计算t，k理论和超对称性一致性条件的溶液数量。提出了整个相交的Brane真空合奏的4D量规组等级和复杂结构模量的分布。我们在此开发的方法可能有助于在景观的其他角落获得尖锐的上和下限。
The landscape of string vacua is very large, but generally expected to be finite in size. Enumerating the number and properties of the vacua is an important task for both the landscape and the swampland, in part to gain a deeper understanding of what is possible and "generic". We obtain an exact counting of distinct intersecting brane vacua of type IIA string theory on the $\mathbb{T}^6/\mathbb{Z}_2\times\mathbb{Z}_2$ orientifold. Care is taken to only count gauge-inequivalent brane configurations. Leveraging the recursive nature by which branes may be added together one-by-one, we use dynamic programming to efficiently count the number of solutions of the tadpole, K-theory and supersymmetry consistency conditions. The distributions of 4D gauge group rank and complex structure moduli for the entire ensemble of intersecting brane vacua are presented. The methods we developed here may be useful in obtaining sharp upper and lower bounds on other corners of the landscape.
