Metric-connection geometries on pre-Leibniz algebroids: A search for geometrical structure in string models

DOI10.1063/5.0020413zbMath1464.83014arXiv2006.05957OpenAlexW3035034728WikidataQ114103850 ScholiaQ114103850MaRDI QIDQ5859119

Keremcan Doğan, Tekin Dereli

Publication date: 15 April 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.05957

zbMATH Keywords

Lie algebroidsdouble field theoryEinstein's theory of gravitygeometrical structure in string modelsLie-type algebroids

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Geometrodynamics and the holographic principle (83E05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (2)

Metric-Bourbaki algebroids: Cartan calculus for M-theory ⋮ `Anti-commutable' local pre-Leibniz algebroids and admissible connections

Cites Work

• Unnamed Item
• Unnamed Item
• The supergeometry of Loday algebroids
• Leibniz algebroids, twistings and exceptional generalized geometry
• Riemannian geometry of Lie algebroids
• Torsion-free generalized connections and heterotic supergravity
• Leibniz algebroids, generalized Bismut connections and Einstein-Hilbert actions
• Geometric structures encoded in the Lie structure of an Atiyah algebroid
• On higher analogues of Courant algebroids
• \(H\)-twisted Lie algebroids
• Lie algebroids, holonomy and characteristic classes
• Formulation of gauge theories on transitive Lie algebroids
• Generalized metric formulation of double field theory
• Extended Riemannian geometry. I: Local double field theory
• Pre-Courant algebroids
• On the geometry of double field theory
• The O_{D, D} geometry of string theory
• Branes on Poisson varieties
• Generalized Calabi-Yau Manifolds
• An Einstein-Hilbert action for axi-dilaton gravity in four dimensions
• Courant Algebroid Connections and String Effective Actions
• Towards an invariant geometry of double field theory
• Towards a double field theory on para-Hermitian manifolds
• Ricci-Calculus
• Deformed Weitzenböck Connections and Double Field Theory

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