A (1,2) Heterotic String with Gauge Symmetry

TL;DR

This paper constructs a (1,2) heterotic string model with nonabelian gauge symmetry, analyzing its spectrum, supersymmetry properties, and one-loop quantum effects, linking it to reduced self-dual Yang-Mills theory.

Contribution

It introduces a novel (1,2) heterotic string with specific gauge symmetry and provides a detailed analysis of its spectrum, supersymmetry, and quantum properties.

Findings

Particle spectrum exhibits nonabelian gauge symmetry.

Fermionization leads to a connection with reduced self-dual Yang-Mills.

One-loop path integral computed for the new string model.

Abstract

We construct a (1,2) heterotic string with gauge symmetry and determine its particle spectrum. This theory has a local N=1 worldsheet supersymmetry for left movers and a local N=2 worldsheet supersymmetry for right movers and describes particles in either two or three space-time dimensions. We show that fermionizing the bosons of the compactified N=1 space leads to a particle spectrum which has nonabelian gauge symmetry. The fermionic formulation of the theory corresponds to a dimensional reduction of self dual Yang Mills. We also give a worldsheet action for the theory and calculate the one-loop path integral.