Heterotic Sigma Models with N=2 Space-Time Supersymmetry

TL;DR

This paper investigates heterotic sigma models with N=2 space-time supersymmetry, demonstrating that such vacua are geometrically characterized by principal two-torus bundles over K3 surfaces, under specific world-sheet supersymmetry conditions.

Contribution

It provides a geometric characterization of heterotic vacua with N=2 supersymmetry using principal two-torus bundles over K3, linking world-sheet supersymmetry constraints to target space geometry.

Findings

Heterotic vacua with N=2 supersymmetry are described by principal two-torus bundles over K3.

The (0,2) + (0,4) world-sheet supersymmetry imposes geometric constraints on the vacuum structure.

A consistent geometric vacuum requires a specific bundle structure over K3 surfaces.

Abstract

We study the non-linear sigma model realization of a heterotic vacuum with N=2 space-time supersymmetry. We examine the requirements of (0,2) + (0,4) world-sheet supersymmetry and show that a geometric vacuum must be described by a principal two-torus bundle over a K3 manifold.