标题： 超越代数超弦紧致化 显示英文标题

标题： Beyond Algebraic Superstring Compactification

摘要： 超弦紧化在过去四十年中得到了积极研究，并在物理学和（复数）代数几何之间形成了活跃的迭代反馈。 这导致了前所未有的大量构造，几乎所有都是“纯粹”的代数构造。 然而，最近的发展表明，通过包括某些广义形式，可以提供更多的可能性——至少从表面上看，这些广义形式并不是代数的——但它们在整体镜像对称框架内表现出色，并且在某些温和但系统的修改后，出人意料地易于进行标准计算分析。 显示英文摘要

摘要： Superstring compactifications have been vigorously studied for over four decades, and have flourished involving an active iterative feedback between physics and (complex) algebraic geometry. This led to an unprecedented wealth of constructions, virtually all of which are "purely" algebraic. Recent developments however indicate many more possibilities to be afforded by including certain generalizations that, at first glance at least, are not algebraic -- yet fit remarkably well within an overall mirror-symmetric framework and are surprisingly amenable to standard computational analysis upon certain mild but systematic modifications.