Conformal courant algebroids and orientifold T-Duality
Date
2013
Authors
Baraglia, David
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World Scientific Publishing Company
Abstract
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 twisted cohomology which is 4-periodic if L2 = 1. The structure of Conformal Courant algebroids on circle bundles leads us to construct a T-duality for orientifolds with free involution. This incarnation of T-duality yields an isomorphism of 4-periodic twisted cohomology. We conjecture that the isomorphism extends to an isomorphism in twisted KR-theory and give some calculations to support this claim.
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Keywords: algebroids; Courant; orientifold; T-duality
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International Journal of Geometric Methods in Modern Physics
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Journal article
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Restricted until
2037-12-31