Conformal Invariance of (0,2) Sigma Models on Calabi-Yau Manifolds

TL;DR

This paper extends the known conformal invariance results from (2,2) to (0,2) sigma models on Calabi-Yau manifolds, showing that stability conditions allow for similar perturbative corrections.

Contribution

It generalizes the conformal invariance proof to (0,2) models with stable bundles, broadening the class of models with conformal symmetry.

Findings

Conformal invariance can be achieved for (0,2) models on Calabi-Yaus.

Perturbative corrections depend on bundle stability.

Extends previous results from (2,2) to (0,2) models.

Abstract

Long ago, Nemeschansky and Sen demonstrated that the Ricci-flat metric on a Calabi-Yau manifold could be corrected, order by order in perturbation theory, to produce a conformally invariant (2,2) nonlinear sigma model. Here we extend this result to (0,2) sigma models for stable holomorphic vector bundles over Calabi-Yaus.