Bianchi Identities for Non-Geometric Fluxes - From Quasi-Poisson Structures to Courant Algebroids

Andreas Deser; Erik Plauschinn; Felix Rennecke; Ralph Blumenhagen

Bianchi Identities for Non-Geometric Fluxes - From Quasi-Poisson Structures to Courant Algebroids

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arxiv 1205.1522 v2 pith:EQ2Z3H4R submitted 2012-05-07 hep-th math-phmath.MP

Bianchi Identities for Non-Geometric Fluxes - From Quasi-Poisson Structures to Courant Algebroids

Ralph Blumenhagen , Andreas Deser , Erik Plauschinn , Felix Rennecke This is my paper

classification hep-th math-phmath.MP

keywords identitiesalgebroidsbianchicourantfluxesquasi-poissonalgebraapproach

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Starting from a (non-associative) quasi-Poisson structure, the derivation of a Roytenberg-type algebra is presented. From the Jacobi identities of the latter, the most general form of Bianchi identities for fluxes (H,f,Q,R) is then derived. It is also explained how this approach is related to the mathematical theory of quasi-Lie and Courant algebroids.

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