Chiral Algebras of (0,2) Sigma Models: Beyond Perturbation Theory - II

Abstract

We extend our analysis in [arXiv:0801.4782] and show that the chiral algebras of (0,2) sigma models are totally trivialized by worldsheet instantons for all complete flag manifolds of compact semisimple Lie groups. Consequently, supersymmetry is spontaneously broken. Our results verify Stolz's idea that there are no harmonic spinors on the loop spaces of these flag manifolds. Moreover, they also imply that the kernels of certain twisted Dirac operators on these spaces will be empty under a "quantum" deformation of their geometries.

arXiv comment13 pages

References in corpus (1)

• Chiral de Rham complex

Cited by in corpus (15)

• Quantum Vortex Strings: A Review
• Supercurrents and Brane Currents in Diverse Dimensions
• Chiral algebras from Ω-deformation
• N=(0,2) Deformation of CP(1) Model: Two-dimensional Analog of N=1 Yang-Mills Theory in Four Dimensions
• A 2d (0,2) appetizer
• Chiral Algebras of (0,2) Models
• N=(0, 2) Deformation of (2, 2) Sigma Models: Geometric Structure, Holomorphic Anomaly and Exact Beta Functions
• B-branes and supersymmetric quivers in 2d
• On the six-dimensional origin of the AGT correspondence
• On Isometry Anomalies in Minimal N=(0,1) and N=(0,2) Sigma Models
• Little Strings, Quasi-topological Sigma Model on Loop Group, and Toroidal Lie Algebras
• Making supersymmetric connected N =(0,2) Sigma Models
• On Grassmannian Heterotic Sigma Model
• More on Two-Dimensional $O(N)$ Models with $\mathcal{N}=(0,1)$ Supersymmetry
• A heterotic sigma model with novel target geometry