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arxiv: 1707.00265 · v2 · submitted 2017-07-02 · 🧮 math.DG · hep-th

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Letters to Alan Weinstein about Courant algebroids

Pavol \v{S}evera
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classification 🧮 math.DG hep-th
keywords algebroidscourantlettersalanbasiccanonicalclassificationcontain
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These letters, written in 1998-2000, contain various basic results about Courant algebroids (CAs), such as classification of exact and transitive CAs, reduction of CAs, description in terms of symplectic dg manifolds, a canonical generating Dirac operator, and a relation with Poisson-Lie T-duality.

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Cited by 2 Pith papers

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    An explicit holomorphic theory is constructed for flux backgrounds in 10D N=1 supergravity, conjecturally realizing the supergravity twist and generalizing minimal type I BCOV theory via Courant algebroids.

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    Courant algebroid relations define spinor and Dirac structure relations, with T-duality inducing spinor relations that generalize twisted cohomology isomorphisms and are compatible with Type II supergravity equations.