Hybrid conformal field theories

TL;DR

This paper introduces a class of hybrid conformal field theories formed by fibering Landau-Ginzburg orbifold models over Kaehler bases, providing new tools to analyze their spectra independently of gauged linear sigma models.

Contribution

It presents a novel construction of hybrid conformal field theories and a technique to compute their massless spectra, applicable beyond gauged linear sigma model phases.

Findings

Validated the spectrum computation method on hybrid phases of linear models.

Demonstrated consistency of spectra across different phases.

Provided insights into the properties of 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.