Exploring the Moduli Space of (0,2) Strings

TL;DR

This paper investigates the superpotential of a (0,2) string vacuum using an exactly solvable conformal field theory, providing exact correlation functions and insights into flat directions and phase structure.

Contribution

It introduces an exactly solvable (0,2) supersymmetric model with gauge group SO(10) and analyzes its superpotential and phase structure in detail.

Findings

Rational point lies in the Landau-Ginzburg phase

Exact three- and four-point functions of gauge singlets calculated

Constraints on flat directions of the superpotential derived

Abstract

We use an exactly solvable (0,2) supersymmetric conformal field theory with gauge group SO(10) to investigate the superpotential of the corresponding classical string vacuum. We provide evidence that the rational point lies in the Landau-Ginzburg phase of the linear sigma-model and calculate exactly all three- and four-point functions of the gauge singlets. These couplings already put severe constraints on the possible flat directions of the superpotential. Finally, we contemplate about the flat direction related to Kahler deformations of the underlying linear sigma-model.