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.
Letters to Alan Weinstein about Courant algebroids
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
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.
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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.
citing papers explorer
-
Generalised Complex and Spinor Relations
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.
-
Kodaira-Spencer theory for flux backgrounds
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.