Spectral Covers, Charged Matter and Bundle Cohomology

TL;DR

This paper investigates the structure of charged matter in heterotic string compactifications on elliptic Calabi-Yau threefolds, demonstrating the stability of the matter spectrum under bundle deformations using spectral cover methods.

Contribution

It introduces a spectral cover approach to analyze bundle cohomology and charged matter stability in heterotic compactifications.

Findings

Charged matter spectrum remains stable under bundle deformations.

Spectral cover techniques effectively compute bundle cohomology.

Results apply to generic elliptic Calabi-Yau threefolds.

Abstract

We consider four dimensional heterotic compactifications on smooth elliptic Calabi-Yau threefolds. Using spectral cover techniques, we study bundle cohomology groups corresponding to charged matter multiplets. The analysis shows that in generic situations, the resulting charged matter spectrum is stable under deformations of the vector bundle.