nLab G₂-orbifold

Idea

A $G_2$-orbifold is a Riemannian orbifold with G₂-holonomy, also called a Joyce orbifold.

This concept is the generalization from manifolds to orbifolds of the concept of G₂-manifolds.

for the moment see at G2-manifold – With ADE orbifold structure

Related concepts

• M-theory on G₂-manifolds

References

• Bobby Acharya, M theory, Joyce Orbifolds and Super Yang-Mills, Adv.Theor.Math.Phys. 3 (1999) 227-248 (arXiv:hep-th/9812205)

• Michael Atiyah, Edward Witten $M$-Theory dynamics on a manifold of $G_2$-holonomy, Adv. Theor. Math. Phys. 6 (2001) (arXiv:hep-th/0107177)

• Bobby Acharya, Sergei Gukov, M theory and Singularities of Exceptional Holonomy Manifolds, Phys.Rept.392:121-189,2004 (arXiv:hep-th/0409191)

• Adam B. Barrett, M-Theory on Manifolds with $G_2$ Holonomy, 2006 (arXiv:hep-th/0612096)

• Frank Reidegeld$G_2$-orbifolds from K3 surfaces with ADE-singularities (arXiv:1512.05114)

• Frank Reidegeld, K3 surfaces with a pair of commuting non-symplectic involutions (arXiv:1809.07501)

• Bobby Acharya, Andreas Braun, Eirik Eik Svanes, Roberto Valandro, Counting Associatives in Compact $G_2$ Orbifolds (arXiv:1812.04008)