Unified picture of non-geometric fluxes and T-duality in double field theory using graded symplectic manifolds
by
Marc Andre Heller(Tohoku University, Japan)
→
Europe/Berlin
313
313
Description
In the last decades, the analysis of T-duality in string theory lead to
many interesting phenomena, one of them being the so-called non-geometric
string backgrounds related to the existence of non-geometric Q- and
R-fluxes.
We give a systematic derivation of the local expressions of the NS H-flux,
geometric F- as well as non-geometric Q- and R-fluxes in terms of bivector
beta- and two-form B-potentials including vielbeins. They are obtained
using a supergeometric method on QP-manifolds by twist of the standard
Courant algebroid on the generalized tangent space without flux. Bianchi
identities of the fluxes are easily deduced. We extend the discussion to
the case of the double space and present a formulation of T-duality in
terms of canonical transformations between graded symplectic manifolds.
Finally, the construction is compared to the formerly introduced Poisson
Courant algebroid, a Courant algebroid on a Poisson manifold, as a model
for R-flux.
