Vector Bundles And F Theory

TL;DR

This paper develops techniques for constructing holomorphic G bundles over elliptic Calabi-Yau manifolds to better understand heterotic string and F theory duality, providing detailed comparisons between the two frameworks.

Contribution

It introduces new methods for describing G bundles on elliptic Calabi-Yau manifolds, advancing the understanding of heterotic/F theory duality.

Findings

New techniques for constructing G bundles

Detailed comparisons between heterotic string and F theory

Enhanced understanding of duality mechanisms

Abstract

To understand in detail duality between heterotic string and F theory compactifications, it is important to understand the construction of holomorphic G bundles over elliptic Calabi-Yau manifolds, for various groups G. In this paper, we develop techniques to describe the bundles, and make several detailed comparisons between the heterotic string and F theory.