Rational Curves and (0,2)-Deformations

Abstract

We compare the count of (0,2)-deformation moduli fields for N=(2,2) conformal field theories on orbifolds and sigma-models on resolutions of the orbifold. The latter involves counting deformations of the tangent sheaf. We see there is generally a discrepancy which is expected to be explained by worldsheet instanton corrections coming from rational curves in the orbifold resolution. We analyze the rational curves on the resolution to determine such corrections and discover that irreducible toric rational curves account for some, but not all, of the discrepancy. In particular, this proves that there must be worldsheet instanton corrections beyond those from smooth isolated rational curves.

25 pages, PDFLaTeX

References in corpus (14)

• Topological Field Theory and Rational Curves
• Criteria for Conformal Invariance of (0,2) Models
• Residues and World-Sheet Instantons
• World-Sheet Corrections Via D-Instantons
• Superpotentials for Vector Bundle Moduli
• Summing the Instantons in Half-Twisted Linear Sigma Models
• How to calculate A-Hilb C^3
• On the Instanton Contributions to the Masses and Couplings of $E_6$ Singlets
• (0,2) Elephants
• (0,2) Deformations of Linear Sigma Models
• Quivers from Matrix Factorizations
• Elusive Worldsheet Instantons in Heterotic String Compactifications
• Cohomology on Toric Varieties and Local Cohomology with Monomial Supports
• (0,2)-Deformations and the $G$-Hilbert Scheme

Cited by in corpus (2)

• Worldsheet instantons and (0,2) linear models
• (0,2) hybrid models