134 billion intersecting brane models

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 ??(6)/Z(2)x 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.

Automated summary

Enumerating the number and properties of string vacua is crucial for understanding their possibilities and universality. In this study, we successfully counted the distinct intersecting brane vacua in a specific scenario using dynamic programming. The distribution of certain characteristics of these vacua was also presented. These methods can be applied to other corners of the landscape.