The Algebroid Structure of Double Field Theory

Abstract

By doubling the target space of a canonical Courant algebroid and subsequently projecting down to a specific subbundle, we identify the data of double field theory (DFT) and hence define its algebroid structure. We specify the properties of the DFT algebroid. We show that one of the Courant algebroid properties plays the role of the strong constraint in the context of DFT. The DFT algebroid is a special example when properties of a Courant algebroid are relaxed in a specific and dependent manner. When otherwise, we uncover additional structures.

11 pages; proceedings of "Dualities and Generalized Geometries", Corfu Summer Institute 2018. v2: typo corrected, reference added

References in corpus (4)

• Double Field Theory
• Non-geometric Backgrounds and the First Order String Sigma Model
• Letters to Alan Weinstein about Courant algebroids
• Unified picture of non-geometric fluxes and T-duality in double field theory via graded symplectic manifolds