A unique connection for Born geometry

DOI10.1007/s00220-019-03379-7zbMath1434.53088arXiv1806.05992OpenAlexW2808070027WikidataQ125362926 ScholiaQ125362926MaRDI QIDQ2008950

Felix J. Rudolph, David Svoboda, Laurent Freidel

Publication date: 26 November 2019

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

Full work available at URL: https://arxiv.org/abs/1806.05992

zbMATH Keywords

T-dualitygeneralized geometryBorn geometrycompactified strings

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Poisson manifolds; Poisson groupoids and algebroids (53D17) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (24)

Special geometry, Hessian structures and applications ⋮ Hyperkähler, bi-hypercomplex, generalized hyperkähler structures and T-duality ⋮ A note on Faddeev-Popov action for doubled-yet-gauged particle and graded Poisson geometry ⋮ Para‐Hermitian Geometry, Dualities and Generalized Flux Backgrounds ⋮ Double field theory, twistors, and integrability in 4-manifolds ⋮ Doubled aspects of algebroids and gauge symmetry in double field theory ⋮ On geometries and monodromies for branes of codimension two ⋮ Towards quantum mechanics on the curved cotangent bundle ⋮ Doubled aspects of generalised dualities and integrable deformations ⋮ Gravity with antisymmetric components ⋮ Towards an extended/higher correspondence. Generalised geometry, bundle gerbes and global double field theory ⋮ A unique connection for Born geometry ⋮ Para-Hermitian geometries for Poisson-Lie symmetric \(\sigma\)-models ⋮ T-dualities and doubled geometry of the principal chiral model ⋮ Double field theory and geometric quantisation ⋮ Currents, charges and algebras in exceptional generalised geometry ⋮ Doubled aspects of Vaisman algebroid and gauge symmetry in double field theory ⋮ More on doubled aspects of algebroids in double field theory ⋮ Algebroids, AKSZ constructions and doubled geometry ⋮ Generalized connections, spinors, and integrability of generalized structures on Courant algebroids ⋮ Double field theory algebroid and curved L ∞-algebras ⋮ 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

Cites Work

• \({E_d}_{(d)}\times \mathbb{R}^{+}\) generalised geometry, connections and M theory
• The geometry behind double geometry
• On the Riemann tensor in double field theory
• On regular Courant algebroids
• NS-NS fluxes in Hitchin's generalized geometry
• Generalized geometry, \(T\)-duality, and renormalization group flow
• Renormalization of Lorentz non-invariant actions and manifest T-duality
• Generalized complex geometry
• Relative locality: a deepening of the relativity principle
• Differential geometry with a projection: application to double field theory
• Brackets, forms and invariant functionals
• A noncommutative version of Lie algebras: Leibniz algebras
• Manin triples for Lie bialgebroids
• Born reciprocity in string theory and the nature of spacetime
• Intrinsic non-commutativity of closed string theory
• Generalised kinematics for double field theory
• A survey on paracomplex geometry
• A unique connection for Born geometry
• Generalized metric formulation of double field theory
• Erratum: The effective action of double field theory
• Supergravity as generalised geometry I: type II theories
• Duality invariant actions and generalised geometry
• Double field theory and membrane sigma-models
• Background field equations for the duality symmetric string
• Hyper-para-Hermitian manifolds with torsion
• The geometry of a bi-Lagrangian manifold
• Para-Hermitian and paraquaternionic manifolds
• Transitive Courant algebroids
• Metastring theory and modular space-time
• Double field theory: a pedagogical review
• On the geometry of double field theory
• The O_{D, D} geometry of string theory
• Branes on Poisson varieties
• Modular spacetime
• Algebroid structures on para-Hermitian manifolds
• Dirac Manifolds
• Generalized Calabi-Yau Manifolds
• Courant Algebroid Connections and String Effective Actions
• Towards an invariant geometry of double field theory
• Towards a double field theory on para-Hermitian manifolds
• Target space duality. I: General theory
• Target space duality. II: Applications
• Duality rotations in string theory
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