Equations of Motion in Double Field Theory: From Particles to Scale Factors

Abstract

In double field theory, the equation of motion for a point particle in the background field is considered. We find that the motion is described by a geodesic flow in the doubled geometry. Inspired by the analysis on the particle motion, we consider a modified model of quantum string cosmology, which includes two scale factors.

25pages, no figure, revised version

References in corpus (17)

• Double Field Theory
• The gauge algebra of double field theory and Courant brackets
• Generalized Geometry and M theory
• Differential geometry with a projection: Application to double field theory
• Double Field Theory of Type II Strings
• Stringy differential geometry, beyond Riemann
• SO(5,5) duality in M-theory and generalized geometry
• Unification of Type II Strings and T-duality
• Double Field Theory Formulation of Heterotic Strings
• Background Field Equations for the Duality Symmetric String
• Frame-like Geometry of Double Field Theory
• Massive Type II in Double Field Theory
• Duality Invariance: From M-theory to Double Field Theory
• Double field formulation of Yang-Mills theory
• On factorizations in perturbative quantum gravity
• Double Field Theory for Double D-branes
• T-duality versus Gauge Symmetry

Cited by in corpus (11)

• Double Field Theory: A Pedagogical Review
• Duality orbits of non-geometric fluxes
• Supersymmetric Double Field Theory: Stringy Reformulation of Supergravity
• Supersymmetry for Gauged Double Field Theory and Generalised Scherk-Schwarz Reductions
• Boundary Terms in Generalized Geometry and doubled field theory
• Double Field Theory Inspired Cosmology
• U-gravity : $\mathbf{SL}(N)$
• U-duality in three and four dimensions
• Fermionic T-duality and U-duality in type II supergravity
• New Cosmological Signatures from Double Field Theory
• Solution-generating transformations in duality-invariant theories and the fluid/gravity correspondence