The Moduli Space and Phase Structure of Heterotic Strings in Two Dimensions

TL;DR

This paper investigates the moduli space and phase structure of two-dimensional heterotic strings, introducing new compactified theories, analyzing massless states, and computing the torus amplitude across the moduli space.

Contribution

It presents new lines of compactified heterotic string theories with Spin(24) symmetry and analyzes their phase structure and massless spectra.

Findings

Identification of hypersurfaces supporting massless or discrete states

Introduction of new compactification lines with Spin(24) symmetry

Computation of the torus amplitude over large regions of moduli space

Abstract

We explore the moduli space of heterotic strings in two dimensions. In doing so, we introduce new lines of compactified theories with Spin(24) gauge symmetry and discuss compactifications with Wilson lines. The phase structure of d=2 heterotic string theory is examined by classifying the hypersurfaces in moduli space which support massless quanta or discrete states. Finally, we compute the torus amplitude over much of the moduli space.