On Periods for String Compactifications

TL;DR

This paper introduces a new method for calculating periods in string compactifications, applicable to Calabi-Yau hypersurfaces and Landau-Ginzburg models, enhancing computational tools in string theory.

Contribution

It develops a complementary approach for period calculations that works with models including more than five fields, expanding previous methods.

Findings

Reproduces known period calculation results

Enables analysis of Landau-Ginzburg orbifolds with many fields

Provides a convenient basis for related string compactification calculations

Abstract

Motivated by recent developments in the computation of periods for string compactifications with $c=9$, we develop a complementary method which also produces a convenient basis for related calculations. The models are realized as Calabi--Yau hypersurfaces in weighted projective spaces of dimension four or as Landau-Ginzburg vacua. The calculation reproduces known results and also allows a treatment of Landau--Ginzburg orbifolds with more than five fields.