Hybrid conformal field theories

Abstract

We describe a class of (2,2) superconformal field theories obtained by fibering a Landau-Ginzburg orbifold CFT over a compact Kaehler base manifold. While such models are naturally obtained as phases in a gauged linear sigma model, our construction is independent of such an embedding. We discuss the general properties of such theories and present a technique to study the massless spectrum of the associated heterotic compactification. We test the validity of our method by applying it to hybrid phases of linear models and comparing spectra among the phases.

56 pages

References in corpus (3)

• Exact two-dimensional superconformal R-symmetry and c-extremization
• (0,2) Landau-Ginzburg Models and Residues
• Construction of Supersymmetric Nonlinear Sigma Models on Noncompact Calabi-Yau Manifolds with Isometry

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• Testing the (0,2) mirror map
• Fixed points of (0,2) Landau-Ginzburg renormalization group flows and the chiral algebra
• Quantum cohomology from mixed Higgs-Coulomb branches
• Spectral Sequences and Vacua in N = 2 Gauged Linear Quantum Mechanics with Potentials
• B-type D-branes in hybrid models
• Noncommutative resolutions and CICY quotients from a non-abelian GLSM