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arXiv 1601.02462hep-th
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弦论中的大数

Big Numbers in String Theory

A. N. Schellekens

摘要:

这篇论文包含了一些个人的思考,对现在被称为“弦论景观”的几个计算贡献。它由两部分组成。第一部分是关于大数的起源,特别是在协变格构造的工作中出现的数$10^{1500}$(与W. Lerche和D. Luest)。这一部分包含了一些新的结果。我纠正了一个巨大但无关紧要的错误,讨论了一些更准确的估计,并与自由费米子结构的计数进行了比较。特别是我证明,后者只提供了一个指数小部分的所有甚至自对偶晶格大的晶格尺寸。本文的第二部分涉及处理大数字,并包含从各种真空扫描项目中吸取的一些经验教训。

英文摘要:

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 $10^{1500}$ 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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