Hitchin's equations and \(M\)-theory phenomenology

DOI10.1016/j.geomphys.2011.02.014zbMath1215.81094arXiv0905.1968OpenAlexW2084095329MaRDI QIDQ538090

Tony G. Pantev, Martijn P. Wijnholt

Publication date: 23 May 2011

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.1968

zbMATH Keywords

Higgs bundlesspectral covers\(G_{2}\) holonomy\(M\)-theory compactifications7d Yang-Mills theoryALE fibrations

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of global differential geometry to the sciences (53C80) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Kaluza-Klein and other higher-dimensional theories (83E15) Issues of holonomy in differential geometry (53C29) 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)

Related Items

Lectures on Higgs moduli and abelianisation, Gluing branes. II: Flavour physics and string duality, MSW instantons, Compact, singular \(G_2\)-holonomy manifolds and M/heterotic/F-theory duality, Higgs bundles for M-theory on $G_2$-manifolds, Evidence for an algebra of \(G_2\) instantons, Coulomb and Higgs phases of \(G_2\)-manifolds, A 5d perspective on the compactifications of 6d SCFTs to 4d \(\mathcal{N} = 1\) SCFTs, Higgs bundles and UV completion in \(F\)-theory, Theory and phenomenology of {\(\mu\)} in \(M\) theory, Higher-form symmetries in 5d, M-theory and orientifolds, \(T^3\)-invariant heterotic Hull-Strominger solutions, Local \(G_2\)-manifolds, Higgs bundles and a colored quantum mechanics, Non-perturbative heterotic duals of M-theory on \(G_2\) orbifolds

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