$G_2$-orbifolds from K3 surfaces with ADE-singularities
Frank Reidegeld
TL;DR
This paper constructs compact G_2-orbifolds with ADE-singularities, derived from quotients of complex spaces, and discusses their potential applications in physics.
Contribution
It introduces new compact G_2-orbifolds with ADE-singularities, expanding the known examples and linking them to prior quotient constructions.
Findings
Existence of compact G_2-orbifolds with ADE-singularities
Examples related to quotients of C^2×T^3
Discussion of physical applications
Abstract
We construct compact -orbifolds with ADE-singularities that carry exactly one parallel spinor. Our examples are related to certain quotients of that have been investigated in arXiv:hep-th/9812205. We shortly discuss the physical applications of our examples.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Black Holes and Theoretical Physics