Coset Construction of Noncompact Spin(7) and G_2 CFTs

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.

10 pages, LaTeX, no figure. v2: typos corrected, references added

References in corpus (9)

• Superconformal Field Theories for Compact G_2 Manifolds
• Rational Conformal Field Theories With G_2 Holonomy
• CFT Description of String Theory Compactified on Non-compact Manifolds with G_2 Holonomy
• String Theory on G_2 Manifolds Based on Gepner Construction
• Cascade of Special Holonomy Manifolds and Heterotic String Theory
• Unitary minimal models of SW(3/2,3/2,2) superconformal algebra and manifolds of G_2 holonomy
• Superconformal Field Theories for Compact Manifolds with Spin(7) Holonomy
• Unitary representations of SW(3/2,2) superconformal algebra
• Coset Character Identities in Superstring Compactifications

Cited by in corpus (12)

• Generalised discrete torsion and mirror symmetry for G_2 manifolds
• The Topological G2 String
• Supercoset CFT's for String Theories on Non-compact Special Holonomy Manifolds
• Superconformal algebras for twisted connected sums and $G_2$ mirror symmetry
• G_2 Quivers
• A Realization of N=1 $\mathcal{S}\mathcal{W}(3/2,2)$ Algebras with Wolf Spaces
• A construction of G_2 holonomy spaces with torus symmetry
• Superconformal algebras for generalized Spin(7) and G${}_2$ connected sums
• New G2 holonomy metrics, D6 branes with inherent U(1)xU(1) isometry and gamma-deformations
• Towards A Topological G_2 String
• G-structures and Superstrings from the Worldsheet
• $\mathcal{S}\mathcal{W}$-algebras and strings with torsion