We present a global construction of a so-called D-bracket appearing in the physics literature of Double Field Theory (DFT) and show that if certain integrability criteria are satisfied, it can be seen as a sum of two Courant algebroid brackets. In particular, we show that the local picture of the extended space-time us…
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Survey para-Hermitian geometry and its applications in physics.
problem Capturing double field theory concepts on para-Hermitian manifolds.
method Geometric theory of Lagrangian and Hamiltonian systems, deformations of para-Kahler structures, non-linear connections, and weak integrability.
result Reproduce generalized fluxes in para-Hermitian geometry and describe their emergence.