Planckian axions in string theory

@article{Bachlechner2014PlanckianAI,
  title={Planckian axions in string theory},
  author={Thomas C. Bachlechner and Cody Long and Liam McAllister},
  journal={Journal of High Energy Physics},
  year={2014},
  volume={2015},
  pages={1-36}
}
A bstractWe argue that super-Planckian diameters of axion fundamental domains can arise in Calabi-Yau compactifications of string theory. In a theory with N axions θi, the fundamental domain is a polytope defined by the periodicities of the axions, via constraints of the form − π < Qijθj < π. We compute the diameter of the fundamental domain in terms of the eigenvalues f12 ≤ … ≤ fN2 of the metric on field space, and also, crucially, the largest eigenvalue of (QQ⊤)−1. At large N, QQ⊤ approaches… 

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