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Courant algebroid without constraints on fluxes on its Dirac structures

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arxiv 2407.10591 v2 pith:EQ5USAUD submitted 2024-07-15 hep-th

Ilija Ivanišević , Branislav Sazdović This is my paper · ORCID
classification hep-th
keywords courantdiracfluxesstructuresalgebroidconstraintsalgebroidsanalyze
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abstract

We examine the standard Courant bracket and its extensions, defined by twists with different $O(D,D)$ transformations relevant to string theory. We analyze Dirac structures on these Courant algebroids and derive the constraints they impose on fluxes. In the end, we show that the Courant algebroid simultaneously twisted by both $B$ and $\theta$ is characterized by Dirac structures with no restrictions on fluxes.

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  1. Brackets in bosonic string theory

    hep-th 2024-11 conditional novelty 3.0 of 10

    A review of brackets in string theory that derives a Jacobiator for a new three-bracket in double field theory and shows how anomalies can be cancelled.

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