Noncritical strings and W-algebras

Abstract

Singularities of Spin(7) manifolds are considered in the worldsheet approach, and it is argued that the internal CFT describing a singular spin(7) has an enhanced $\mathcal{S}\mathcal{W}(\frac{3}{2},\frac{3}{2},2)$ algebra tensored with $\mathcal{N}=1$ linear dilaton CFT, much like singular Calabi-Yau CFTs have a $\mathcal{N}=2$ linear dilaton tensored with a suitable $\mathcal{N}=2$ SCFT. Upon adding fundamental strings, these vacua are related to $Ad{S}_3$ vacua with $\mathcal{N}=1$ supersymmetry, completing the worldsheet classification of $Ad{S}_3$ vacua with NS flux.

References in corpus (3)

• A One-Loop Test Of String Duality
• Holography for Non-Critical Superstrings
• Unitary minimal models of SW(3/2,3/2,2) superconformal algebra and manifolds of G_2 holonomy

Cited by in corpus (2)

• Superconformal algebras for generalized Spin(7) and G${}_2$ connected sums
• Deformed Shatashvili-Vafa algebra for superstrings on AdS${}_3\times {\mathcal{M}}_7$