Compact weak \(G_2\)-manifolds with conical singularities

DOI10.1016/S0550-3213(03)00388-2zbMath1028.83031arXivhep-th/0302021OpenAlexW1968283193MaRDI QIDQ1394730

Steffen Metzger, Adel Bilal

Publication date: 23 June 2003

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0302021

zbMATH Keywords

conical singularities1/8 M-theory supersymmetry preservation7-dimensional compact Einstein spacesnoncompact \(G_2\)-holonomy manifold

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Geometrodynamics and the holographic principle (83E05) Kaluza-Klein and other higher-dimensional theories (83E15) Issues of holonomy in differential geometry (53C29)

Related Items

Einstein warped \(\mathrm{G}_{2}\) and spin(7) manifolds ⋮ Topology of asymptotically conical Calabi-Yau and \(G_2\) manifolds and desingularization of nearly Kähler and nearly \(G_2\) conifolds ⋮ Anomalies in M-theory on singular \(G_2\)-manifolds ⋮ Yang-Mills instantons on cones and sine-cones over nearly Kähler manifolds ⋮ New \(\mathrm{G}_2\)-holonomy cones and exotic nearly Kähler structures on \(S^6\) and \(S^3\times S^3\) ⋮ Nearly Parallel G₂-structures with Large Symmetry Group

Cites Work

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• Chiral four-dimensional \(N=1\) supersymmetric type IIA orientifolds from intersecting D6-branes
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