Big Numbers in String Theory
Abstract
This paper contains some personal reflections on several computational contributions to what is now known as the "String Theory Landscape". It consists of two parts. The first part concerns the origin of big numbers, and especially the number that appeared in work on the covariant lattice construction (with W. Lerche and D. Luest). This part contains some new results. I correct a huge but inconsequential error, discuss some more accurate estimates, and compare with the counting for free fermion constructions. In particular I prove that the latter only provide an exponentially small fraction of all even self-dual lattices for large lattice dimensions. The second part of the paper concerns dealing with big numbers, and contains some lessons learned from various vacuum scanning projects.
Cite
@article{arxiv.1601.02462,
title = {Big Numbers in String Theory},
author = {A. N. Schellekens},
journal= {arXiv preprint arXiv:1601.02462},
year = {2017}
}
Comments
37 pages, Submitted to "Particle and String Phenomenology: Big Data and Geometry", special volume of "Advances in High Energy Physics" [References added] [This paper is arXive-only. A preface was added in june 2017 to explain why.]