Spin (7) holonomy manifold and superconnection

DOI10.1088/0264-9381/18/5/304zbMath1006.53041arXivhep-th/0010055OpenAlexW3105045562MaRDI QIDQ2716831

Yukinori Yasui, Takayoshi Ootsuka

Publication date: 16 May 2001

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0010055

zbMATH Keywords

gravitational instantonsChern-Simons theoryRicci-flat metric\(G_2\) holonomysuperconnectionSpin(7) holonomySchouten-Nijenhuis bracketCayley \(4\)-form

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Supergravity (83E50) Yang-Mills and other gauge theories in quantum field theory (81T13) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Issues of holonomy in differential geometry (53C29)

Related Items (8)

Fiber structures of special (4 + 3 + 1) warped-like manifolds with Spin(7) holonomy ⋮ Special warped-like product manifolds with (weak) \(G_{2}\) holonomy ⋮ Lee form and special warped-like product manifolds with locally conformally parallel \(\mathrm{Spin}(7)\) structure ⋮ Quillen superconnections and connections on supermanifolds ⋮ \((3+3+2)\) warped-like product manifolds with holonomy ⋮ On the Moyal deformation of Nahm equations in seven dimensions ⋮ New complete noncompact Spin(7) manifolds ⋮ (Weak) \(G_2\) holonomy from self-duality, flux and supersymmetry

This page was built for publication: Spin (7) holonomy manifold and superconnection