M-theory on non-Kähler manifolds

Abstract

We show that supersymmetric M-theory compactifications to three-dimensional Minkowski space-time preserving $\mathcal{N}=2$ supersymmetry allow for a class of internal manifolds more general than the Calabi-Yau one, namely the class of locally conformally Kähler manifolds which locally carry a preferred Calabi-Yau structure.

14 pages. Title changed to match published version

References in corpus (8)

• Lectures on F-theory compactifications and model building
• Lectures on Generalized Complex Geometry for Physicists
• Lectures on Nongeometric Flux Compactifications
• K3 surfaces, modular forms, and non-geometric heterotic compactifications
• On M-theory fourfold vacua with higher curvature terms
• Type IIB flux vacua from G-theory II
• Type IIB flux vacua from G-theory I
• Foliated eight-manifolds for M-theory compactification

Cited by in corpus (3)

• Twisted Cohomotopy implies M-theory anomaly cancellation on 8-manifolds
• Vaisman nilmanifolds
• $N=(2,0)$ AdS${}_3$ Solutions of M-theory