Geometric action for nongeometric fluxes
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Published on: February 13, 2021
David Andriot1, Olaf Hohm, Magdalena Larfors
1Arnold-Sommerfeld-Center for Theoretical Physics, Fakultät für Physik, Ludwig-Maximilians-Universität München, Theresienstrasse 37, 80333 München, Germany.
Abstract:
We give a geometrical interpretation of the nongeometric Q and R fluxes. To this end, we consider double field theory in a formulation that is related to the conventional one by a field redefinition taking the form of a T duality inversion. The R flux is a tensor under diffeomorphisms and satisfies a nontrivial Bianchi identity. The Q flux can be viewed as part of a connection that covariantizes the winding derivatives with respect to diffeomorphisms. We give a higher-dimensional action with a kinetic term for the R flux and a "dual" Einstein-Hilbert term containing the connection Q.
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