Towards a double field theory on para-Hermitian manifolds

DOI10.1063/1.4848777zbMath1285.81060arXiv1209.0152OpenAlexW2057939332MaRDI QIDQ5412782

Izu Vaisman

Publication date: 28 April 2014

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

Full work available at URL: https://arxiv.org/abs/1209.0152

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Kähler manifolds (32Q15) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25)

Related Items (32)

Global aspects of double geometry ⋮ Seeking the balance: patching double and exceptional field theories ⋮ Special geometry, Hessian structures and applications ⋮ Heterotic reduction of Courant algebroid connections and Einstein-Hilbert actions ⋮ C-spaces, generalized geometry and double field theory ⋮ Extended Riemannian geometry. II: Local heterotic double field theory ⋮ The topology of Double Field Theory ⋮ Hyperkähler, bi-hypercomplex, generalized hyperkähler structures and T-duality ⋮ Generalised fluxes, Yang-Baxter deformations and the O\((d,d)\) structure of non-abelian \(T\)-duality ⋮ Extended Riemannian geometry. I: Local double field theory ⋮ A note on Faddeev-Popov action for doubled-yet-gauged particle and graded Poisson geometry ⋮ Pre‐NQ Manifolds and Correspondence Spaces: the Nilmanifold Example ⋮ Generalized kinematics on \(\rho\)-commutative algebras ⋮ Integration of double field theory algebroids and pre-rackoid in doubled geometry ⋮ `Anti-commutable' local pre-Leibniz algebroids and admissible connections ⋮ Generalised kinematics for double field theory ⋮ Algebroid structures on para-Hermitian manifolds ⋮ Hamiltonian vector fields on almost symplectic manifolds ⋮ Towards an extended/higher correspondence. Generalised geometry, bundle gerbes and global double field theory ⋮ A unique connection for Born geometry ⋮ Unnamed Item ⋮ Para-Hermitian geometries for Poisson-Lie symmetric \(\sigma\)-models ⋮ Currents, charges and algebras in exceptional generalised geometry ⋮ Generalized para-Kähler manifolds ⋮ Doubled aspects of Vaisman algebroid and gauge symmetry in double field theory ⋮ More on doubled aspects of algebroids in double field theory ⋮ Hitchhiker's guide to Courant algebroid relations ⋮ Algebroids, AKSZ constructions and doubled geometry ⋮ Metric-connection geometries on pre-Leibniz algebroids: A search for geometrical structure in string models ⋮ Global aspects of doubled geometry and pre-rackoid ⋮ Complex structures, T-duality and worldsheet instantons in Born sigma models ⋮ Born sigma-models for para-Hermitian manifolds and generalized T-duality

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