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

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.

arXiv comment15 pages; references added

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Cited by in corpus (4)

• Finite deformations from a heterotic superpotential: holomorphic Chern--Simons and an $L_{\infty }$ algebra
• Species scale, worldsheet CFTs and emergent geometry
• $\mathcal{G}$-structure symmetries and anomalies in $(1,0)$ non-linear $\sigma$-models
• Lectures in Quantum Gravity