On the Calabi-Yau Phase of (0,2) Models

TL;DR

This paper investigates the Calabi-Yau phase of (0,2) models, exploring their geometric properties and singularity resolutions using toric geometry, and relates these models to superconformal field theories.

Contribution

It provides a geometric analysis of (0,2) models' Calabi-Yau phase, including singularity resolution and Euler characteristic calculations, linking to superconformal theories.

Findings

Resolved singularities in specific (0,2) models

Calculated Euler characteristics of gauge bundles

Connected geometric models to superconformal field theories

Abstract

We study the Calabi-Yau phase of a certain class of (0,2) models. These are conjectured to be equivalent to exact (0,2) superconformal field theories which have been constructed recently. Using the methods of toric geometry we discuss in a few examples the problem of resolving the singularities of such models and calculate the Euler characteristic of the corresponding gauge bundles.