Quantum Corrections in Two-Dimensional Non-Supersymmetric Heterotic Strings

TL;DR

This paper investigates quantum corrections in a class of non-supersymmetric two-dimensional heterotic string theories, calculating their cosmological constants and mass corrections, and exploring their gauge symmetry structures.

Contribution

It provides the first detailed computation of genus two cosmological constants and mass corrections for these non-supersymmetric heterotic strings, revealing their classification by Niemeier lattices and hidden gauge symmetries.

Findings

Computed genus two cosmological constant using hyperelliptic formalism

Determined mass corrections for massless states

Identified classification by Niemeier lattice and hidden gauge symmetry

Abstract

We study quantum corrections for a family of 24 non-supersymmetric heterotic strings in two dimensions. We compute their genus two cosmological constant using the hyperelliptic formalism and the genus one two-point functions for the massless states. From here we get the mass corrections to the states in the massless sector and discuss the role of the infrared divergences that appear in the computation. We also study some tree-level aspects of these theories and find that they are classified not only by the corresponding Niemeier lattice but also by their {\it hidden} right-moving gauge symmetry.