Abstract
In this thesis we study several aspects of Double Field Theory (DFT). In
general, Double Field Theory is subject to the socalled strong constraint. By
using the Flux Formulation of DFT, we explore to what extent one can deal
with the gauge consistency constraints of DFT without imposing the strong
constraint. We introduce the generalized fluxes, which are higherdimensionalelds that upon compactication give rise to the usual constant
fluxes (i.e., the gaugings of gauged supergravities). We rely on a geometric construction in order to build geometric quantities like the generalized Ricci scalar. The novel notions of stringy differential geometry are adapted to hold beyond the strong constraint. We move on to study the usual chain of brane solutions known as NS5KK5Q5 (or 522) and R5 in the DFT language. We argue that the R5brane solution has a winding coordinatedependence rendering it locally nongeometric from the usual supergravity point of view. We justify this by using a generalized ScherkSchwarz reduction ansatz of DFT. Finally, we construct the dual theory of Double Field Theory, which we call Dual Double Field Theory. This theory incorporates all the mixedsymmetry potentials that couple naturally to the
branes mentioned before. We consider a dualization procedure proposing a
firstorder action in the Flux Formulation and also in a geometric formulation
using the spin connection. The Dual DFT reduces to the standard dualization
for the NSelds in standard space.
general, Double Field Theory is subject to the socalled strong constraint. By
using the Flux Formulation of DFT, we explore to what extent one can deal
with the gauge consistency constraints of DFT without imposing the strong
constraint. We introduce the generalized fluxes, which are higherdimensionalelds that upon compactication give rise to the usual constant
fluxes (i.e., the gaugings of gauged supergravities). We rely on a geometric construction in order to build geometric quantities like the generalized Ricci scalar. The novel notions of stringy differential geometry are adapted to hold beyond the strong constraint. We move on to study the usual chain of brane solutions known as NS5KK5Q5 (or 522) and R5 in the DFT language. We argue that the R5brane solution has a winding coordinatedependence rendering it locally nongeometric from the usual supergravity point of view. We justify this by using a generalized ScherkSchwarz reduction ansatz of DFT. Finally, we construct the dual theory of Double Field Theory, which we call Dual Double Field Theory. This theory incorporates all the mixedsymmetry potentials that couple naturally to the
branes mentioned before. We consider a dualization procedure proposing a
firstorder action in the Flux Formulation and also in a geometric formulation
using the spin connection. The Dual DFT reduces to the standard dualization
for the NSelds in standard space.
Original language  English 

Qualification  Doctor of Philosophy 
Awarding Institution 

Supervisors/Advisors 

Award date  21Jun2016 
Place of Publication  [Groningen] 
Publisher  
Print ISBNs  9789036789493 
Electronic ISBNs  9789036789509 
Publication status  Published  2016 