Yang-Mills instantons on cones and sine-cones over nearly Kähler manifolds

DOI10.1007/JHEP09(2011)103zbMath1301.81128arXiv1108.3951OpenAlexW1978438767MaRDI QIDQ480492

Christoph Nölle, Olaf Lechtenfeld, Alexander D. Popov, Karl-Philip Gemmer

Publication date: 8 December 2014

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.3951

zbMATH Keywords

flux compactificationsdifferential and algebraic geometrysolitons monopoles and instantons

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Kähler manifolds (32Q15) Kaluza-Klein and other higher-dimensional theories (83E15) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Soliton solutions (35C08)

Related Items

Yang-Mills solutions and \(\mathrm{Spin}(7)\)-instantons on cylinders over coset spaces with \(G_2\)-structure, \(Spin(7)\) compactifications and \(1/4\)-BPS vacua in heterotic supergravity, \(L^2\) harmonic forms on complete special holonomy manifolds, Sigma-model limit of Yang-Mills instantons in higher dimensions, \(SU(2)\) solutions to self-duality equations in eight dimensions, Instantons on Calabi-Yau and hyper-Kähler cones, Left-invariant Einstein metrics on \(S^3 \times S^3\), Marginal deformations of heterotic \(G_2\) sigma models, Non-symmetric Riemannian gravity and Sasaki–Einstein 5-manifolds, Instantons on conical half-flat 6-manifolds, Contact manifolds, contact instantons, and twistor geometry, Spectra, rigidity and stability of sine-cones, Instantons and Killing spinors, Instantons on the six-sphere and twistors, Instantons on Calabi-Yau cones, Yang-Mills solutions and dyons on cylinders over coset spaces with Sasakian structure

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hermitian Yang-Mills instantons on resolutions of Calabi-Yau cones
• Yang-Mills flows on nearly Kähler manifolds and \(G_{2}\)-instantons
• SU(3)-structures on hypersurfaces of manifolds with \(G_2\)-structure
• Instantons and Yang-Mills flows on coset spaces
• Infinite determinants, stable bundles and curvature
• Self-dual Yang--Mills fields in \(d=7, 8\), octonions and Ward equations
• Gauge fields and D-branes.
• (Anti)self-dual gauge fields in dimension \(d\geq 4\)
• A generalization of the notion of instanton
• Compact weak \(G_2\)-manifolds with conical singularities
• Parallel spinors and connections with skew-symmetric torsion in string theory.
• Cohomogeneity-one \(G_{2}\)-structures
• Evidence for heterotic - type I string duality
• Small instantons in string theory
• Gauge theory and calibrated geometry. I
• Yang-Mills instantons and dyons on homogeneous \(G_{2}\)-manifolds
• Yang-Mills fields in flux compactifications on homogeneous manifolds with \(\operatorname{SU}(4)\)-structure
• Double quiver gauge theory and nearly Kähler flux compactifications
• Instantons and Killing spinors
• Real Killing spinors and holonomy
• Homogeneous spaces defined by Lie group automorphisms. I
• Gauge Theory in higher dimensions, II
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• Nearly hypo structures and compact nearly Kähler 6-manifolds with conical singularities
• Octonionic superstring solitons
• On the existence of hermitian-yang-mills connections in stable vector bundles
• Yang-Mills fields on quaternionic spaces
• A singularity removal theorem for Yang-Mills fields in higher dimensions
• Topological Solitons
• Seiberg–Witten monopole equations on noncommutative R4
• Yang–Mills equations of motion for the Higgs sector of SU(3)-equivariant quiver gauge theories
• Non-Abelian vortices, super Yang-Mills theory and Spin(7)-instantons