(0,2) String Compactifications: The Higgs Mechanism

TL;DR

This paper explores the Higgs mechanism within (0,2) string compactifications, revealing a vector bundle data duality that enables smooth transitions between theories with different gauge groups while maintaining the same base manifold and number of generations.

Contribution

It introduces the vector bundle data duality in (0,2) compactifications and demonstrates gauge group breaking via the Higgs mechanism along the Kahler moduli space.

Findings

Existence of vector bundle data duality (VBDD) in (0,2) compactifications.

Smooth connection between theories with different gauge groups.

Gauge symmetry breaking from E6 to SO(10) or SU(5) along moduli space.

Abstract

We present the Higgs mechanism in (0,2) compactifications. The existence of a vector bundle data duality (VBDD) in $(0,2)$ compactifications which is present at the Landau-Ginzburg point allows us to connect in a smooth manner theories with different gauge groups with the same base manifold and same number of effective generations. As we move along the Kahler moduli space of the theories with $E_6$ gauge group, some of the gauginos pick up masses and break the gauge group to $SO(10)$ or $SU(5)$.