Extended Riemannian geometry. III: Global double field theory with nilmanifolds

DOI10.1007/JHEP05(2019)209zbMath1416.81102arXiv1812.00026OpenAlexW3106134503WikidataQ115390702 ScholiaQ115390702MaRDI QIDQ2315796

Christian Sämann, Andreas Deser

Publication date: 25 July 2019

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

Full work available at URL: https://arxiv.org/abs/1812.00026

zbMATH Keywords

string dualityflux compactificationsdifferential and algebraic geometry

Mathematics Subject Classification ID

Model quantum field theories (81T10) String and superstring theories in gravitational theory (83E30) Applications of differential geometry to physics (53Z05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (3)

A note on Faddeev-Popov action for doubled-yet-gauged particle and graded Poisson geometry ⋮ Pre‐NQ Manifolds and Correspondence Spaces: the Nilmanifold Example ⋮ Towards an extended/higher correspondence. Generalised geometry, bundle gerbes and global double field theory

Cites Work

• Unnamed Item
• Unnamed Item
• Global aspects of double geometry
• The geometry behind double geometry
• Seeking the balance: patching double and exceptional field theories
• Large gauge transformations in double field theory
• Comments on double field theory and diffeomorphisms
• Leibniz algebroids, twistings and exceptional generalized geometry
• Even symplectic supermanifolds and double field theory
• The derived Maurer-Cartan locus
• Generalized complex geometry
• Brackets, forms and invariant functionals
• Dirac structures on nilmanifolds and coexistence of fluxes
• Courant algebroids
• \(L_\infty \) structures on mapping cones
• Extended Riemannian geometry. II: Local heterotic double field theory
• The topology of Double Field Theory
• Unified picture of non-geometric fluxes and T-duality in double field theory via graded symplectic manifolds
• Generalised kinematics for double field theory
• Double field theory on group manifolds
• \(T\)-duality: topology change from \(H\)-flux
• Extended Riemannian geometry. I: Local double field theory
• Finite gauge transformations and geometry in double field theory
• Generalized metric formulation of double field theory on group manifolds
• Brane Wess-Zumino terms from AKSZ and exceptional generalised geometry as an \(L_\infty \)-algebroid
• T-duality and non-geometric solutions from double geometry
• The spacetime of double field theory: Review, remarks, and outlook
• Double field theory: a pedagogical review
• Generalized complex geometry and T-duality
• The 2-Hilbert space of a prequantum bundle gerbe
• algebras and field theory

This page was built for publication: Extended Riemannian geometry. III: Global double field theory with nilmanifolds