Beyond Algebraic Superstring Compactification

TL;DR

This paper explores new non-algebraic superstring compactification methods that integrate with mirror symmetry, expanding beyond traditional algebraic approaches and enabling novel computational techniques.

Contribution

It introduces generalized non-algebraic compactification frameworks compatible with mirror symmetry, broadening the scope of superstring theory constructions.

Findings

Non-algebraic compactifications fit within mirror-symmetric frameworks

Standard computational methods can be adapted for these new models

Potential for discovering novel string vacua and geometric structures

Abstract

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.