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Conformal courant algebroids and orientifold T-Duality

Baraglia, David

Description

We introduce conformal Courant algebroids, a mild generalization of Courant algebroids in which only a conformal structure rather than a bilinear form is assumed. We introduce exact conformal Courant algebroids and show they are classified by pairs (L, H) with L a flat line bundle and H ∈ H 3(M, L) a degree 3 class with coefficients in L. As a special case gerbes for the crossed module (U(1) → Z2) can be used to twist TM ⊕ T*M into a conformal Courant algebroid. In the exact case there is a...[Show more]

CollectionsANU Research Publications
Date published: 2013
Type: Journal article
URI: http://hdl.handle.net/1885/70634
Source: International Journal of Geometric Methods in Modern Physics
DOI: 10.1142/S0219887812500843

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