Harmonic forms and deformation of ALC metrics with Spin(7) holonomy

DOI10.1016/S0550-3213(02)01073-8zbMath1006.53042arXivhep-th/0208139OpenAlexW2085399662MaRDI QIDQ1854621

Yukinori Yasui, Hiroaki Kanno

Publication date: 14 January 2003

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

Full work available at URL: https://arxiv.org/abs/hep-th/0208139

zbMATH Keywords

first order differential equationsM-theory circletype IIA string coupling constant

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Spin and Spin({}^c) geometry (53C27) Issues of holonomy in differential geometry (53C29)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hyperkähler metrics of cohomogeneity one
• Hodge cohomology of gravitational instantons
• Einstein metrics on \(S^ 3\), \(R^ 3\) and \(R^ 4\) bundles
• Dyon-monopole bound states, self-dual harmonic forms on the multi-monopole moduli space, and \(\text{SL}(2, \mathbb Z)\) invariance in string theory.
• A new characterization of half-flat solutions to Einstein's equation
• A connection between the Einstein and Yang-Mills equations
• Nahm's equations and hyperkähler geometry
• A \(G_2\) unification of the deformed and resolved conifolds
• On nearly parallel \(G_2\)-structures
• M-theory dynamics on a manifold of \(G_2\) holonomy
• M theory, Joyce orbifolds and super Yang-Mills
• On the construction of some complete metrics with exceptional holonomy
• The hidden symmetries of multi-centre metrics
• Cohomogeneity one manifolds of spin(7) and \(G_{2}\) holonomy
• An M-theory flop as a large N duality
• A FAMILY OF HYPERKÄHLER MANIFOLDS
• Conifold transitions and five-brane condensation in M-theory on Spin (7) manifolds
• Anti-self-dual Maxwell solutions on hyper-Kähler manifold and N = 2 supersymmetric Ashtekar gravity
• Inhomogeneous Einstein metrics on complex line bundles
• Brane resolution through transgression
• Gauge theory at large \(N\) and new \(G_2\) holonomy metrics
• Hyper-Kähler Calabi metrics, \(L^2\) harmonic forms, resolved M2-branes, and AdS\(_4\)/CFT\(_3\) correspondence
• New complete noncompact Spin(7) manifolds
• M-theory on Spin(7) manifolds
• \(G_2\) holonomy spaces from invariant three-forms