Coset Construction of Noncompact Spin(7) and G_2 CFTs

TL;DR

This paper introduces a new class of exactly solvable superconformal field theories for string compactifications on manifolds with exceptional holonomies, combining Liouville and coset models to preserve supersymmetry.

Contribution

It constructs modular invariant partition functions and explicit chiral currents for these models, advancing the understanding of string theories on special holonomy manifolds.

Findings

Constructed new superconformal field theories with exceptional holonomies.

Achieved modular invariance and spacetime supersymmetry in these models.

Explicitly realized chiral currents for consistent string theories.

Abstract

We provide a new class of exactly solvable superconformal field theories that corresponds to type II compactification on manifolds with exceptional holonomies. We combine N=1 Liouville field and N=1 coset models and construct modular invariant partition functions of strings moving on these manifolds. The resulting theories preserve spacetime supersymmetry. Also we explicitly construct chiral currents in these models to realize consistent string theories.