Bianchi identities for non‐geometric fluxes from quasi‐Poisson structures to Courant algebroids

DOI10.1002/prop.201200099zbMath1259.83021arXiv1205.1522OpenAlexW1967120852MaRDI QIDQ4902872

Andreas Deser, Felix Rennecke, Erik Plauschinn, Ralph Blumenhagen

Publication date: 18 January 2013

Published in: Fortschritte der Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1522

zbMATH Keywords

Bianchi identityCourant algebroidJacobi identitiesstringCourant algebroidsnon-geometric fluxesquasi-Poisson structure

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Gravitational energy and conservation laws; groups of motions (83C40) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items

\(O(d, d)\)-duality in string theory, Matrix theory origins of non-geometric fluxes, Non-geometric strings, symplectic gravity and differential geometry of Lie algebroids, Exploring double field theory, Revisiting the two formulations of Bianchi identities and their implications on moduli stabilization, Non-commutativity and non-associativity of the doubled string in non-geometric backgrounds, The topology of Double Field Theory, Current algebras, generalised fluxes and non-geometry, Double field theory and membrane sigma-models, Poisson-generalized geometry and R-flux, Unified picture of non-geometric fluxes and T-duality in double field theory via graded symplectic manifolds, Even symplectic supermanifolds and double field theory, Algebroid structures on para-Hermitian manifolds, Supersymmetry with non-geometric fluxes, or a \(\beta\)-twist in generalized geometry and Dirac operator, Membrane sigma-models and quantization of non-geometric flux backgrounds, More on doubled aspects of algebroids in double field theory, Fluxes in exceptional field theory and threebrane sigma-models, A gravitational action with stringy \(Q\) and \(R\) fluxes via deformed differential graded Poisson algebras, D-brane on Poisson manifold and generalized geometry

Cites Work

• Asymmetric orbifolds, non-geometric fluxes and non-commutativity in closed string theory
• T-duality and closed string non-commutative (doubled) geometry
• A ten-dimensional action for non-geometric fluxes
• Nonassociative tori and applications to \(T\)-duality
• Toroidal orientifolds in IIA with general NS-NS-fluxes
• Flux algebra, Bianchi identities and Freed-Witten anomalies in F-theory compactifications
• Manin triples for Lie bialgebroids
• M theory, orientifolds and \(G\)-flux.
• Background independent action for double field theory
• Erratum: The effective action of double field theory
• \(T\)-duality for principal torus bundles and dimensionally reduced Gysin sequences
• Nonassociative gravity in string theory?
• Non-geometric fluxes, asymmetric strings and nonassociative geometry