Non-geometric fluxes, non-geometry, and non-commutativity
Max Planck Institute, Munich
Fri, Jan. 11th 2013, 14:15
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
On the one hand, non-geometric fluxes appear in four-dimensional gauged
supergravities, through specific terms in the potential. These terms are
of phenomenological interest, as they can help with moduli stabilization
or de Sitter solutions. On the other hand, non-geometry can be found in
ten-dimensional string backgrounds, for which stringy symmetries are
allowed to serve as transition functions between patches. In this talk, I
will present recent results clarifying the relation between these two
concepts, possibly leading to new physics.
By rewriting the NSNS Lagrangian in terms of new fields, we make the
non-geometric fluxes appear, for the first time, in ten dimensions.
Additionally, this can restore a standard notion of geometry. A
dimensional reduction is then allowed, and leads to recover the
non-geometric terms of the four-dimensional scalar potential. In doubled
field theory, introducing the new fields and studying the diffeomorphism
invariance provides a more geometrical interpretation to the non-geometric
fluxes. Finally, I will discuss relations to the non-commutativity of
open, and closed, string coordinates.