New Cosmological Signatures from Double Field Theory

Abstract

In cosmology, it has been a long-standing problem to establish a \emph{parameter insensitive} evolution from an anisotropic phase to an isotropic phase. On the other hand, it is of great importance to construct a theory having extra dimensions as its intrinsic ingredients. We show that these two problems are closely related and can naturally be solved simultaneously in double field theory cosmology. Our derivations are based on general arguments without any fine-tuning parameters. In addition, We find that when we begin with FRW metric, the full spacetime metric of DFT totally agrees with \emph{Kaluza-Klein theory}. There is a visible and invisible dimension exchange between the pre- and post-big bangs. Our results indicate that double field theory has profound physical consequences and the continuous $O\left(D,D\right)$ is a very fundamental symmetry. This observation reinforces the viewpoint that symmetries dictate physics.

37 pages, 1 figures. v3: major modifications made. Section 3 is completely new to discuss $O(d,d)$ symmetry in cosmological background and the relations between the traditional string cosmology and DFT. Section 4 is rewritten to correct the metric diagonalization, discuss KK ansatz and show pure gauge transformations have new physical consequences

References in corpus (6)

• Double Field Theory
• Differential geometry with a projection: Application to double field theory
• Duality orbits of non-geometric fluxes
• Double field formulation of Yang-Mills theory
• Non-associative Deformations of Geometry in Double Field Theory
• Twisted Poisson Structures and Non-commutative/non-associative Closed String Geometry

Cited by in corpus (8)

• Branes are Waves and Monopoles
• Cosmological Implications from O(D,D)
• U-gravity : $\mathbf{SL}(N)$
• Gauge Transformation of Double Field Theory for Open String
• Dimensional Reduction of the Generalized DBI
• Loop Corrections in Double Field Theory: Non-trivial Dilaton Potentials
• Equivalence of open/closed strings
• $O(d,d;\mathbb{Z})$ invariant Fierz-Pauli massive gravity