Advances in geometry and Lie algebras from supergravity

DOI10.1007/978-3-319-74491-9zbMath1396.81005OpenAlexW2788831073MaRDI QIDQ1706228

Pietro Giuseppe Fré

Publication date: 21 March 2018

Published in: Theoretical and Mathematical Physics (Cham) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-74491-9

Mathematics Subject Classification ID

Supergravity (83E50) Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie (super)algebras to physics, etc. (17B81) Applications of Lie groups to the sciences; explicit representations (22E70) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Kähler manifolds (32Q15) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Physics (00A79) Groups and algebras in quantum theory (81Rxx)

Related Items (4)

D3-brane supergravity solutions from Ricci-flat metrics on canonical bundles of Kähler-Einstein surfaces ⋮ The \(\mathcal{N}_3=3\to\mathcal{N}_3=4\) enhancement of super Chern-Simons theories in \(D=3\), Calabi HyperKähler metrics and M2-branes on the \(\mathcal{C}(\mathrm{N}^{0,1,0})\) conifold ⋮ Resolution à la Kronheimer of \(\mathbb{C}^3/\Gamma\) singularities and the Monge-Ampère equation for Ricci-flat Kähler metrics in view of D3-brane solutions of supergravity ⋮ Crepant resolutions of \(\mathbb{C}^3 \slash \mathbb{Z}_4\) and the generalized Kronheimer construction (in view of the gauge/gravity correspondence)

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