8 research outputs found
Dynamical decompactification from brane gases in eleven-dimensional supergravity
Brane gas cosmology provides a dynamical decompactification mechanism that
could account for the number of spacetime dimensions we observe today. In this
work we discuss this scenario taking into account the full bosonic sector of
eleven-dimensional supergravity. We find new cosmological solutions that can
dynamically explain the existence of three large spatial dimensions
characterised by an universal asymptotic scaling behaviour and a large number
of initially unwrapped dimensions. This type of solutions enlarge the possible
initial conditions of the Universe in the Hagedorn phase and consequently can
potentially increase the probability of dynamical decompactification from
anisotropically wrapped backgrounds.Comment: 8 figures, JHEP3 styl
Reconnection of Non-Abelian Cosmic Strings
Cosmic strings in non-abelian gauge theories naturally gain a spectrum of
massless, or light, excitations arising from their embedding in color and
flavor space. This opens up the possibility that colliding strings miss each
other in the internal space, reducing the probability of reconnection. We study
the topology of the non-abelian vortex moduli space to determine the outcome of
string collision. Surprisingly we find that the probability of classical
reconnection in this system remains unity, with strings passing through each
other only for finely tuned initial conditions. We proceed to show how this
conclusion can be changed by symmetry breaking effects, or by quantum effects
associated to fermionic zero modes, and present examples where the probability
of reconnection in a U(N) gauge theory ranges from 1/N for low-energy
collisions to one at higher energies.Comment: 25 Pages, 3 Figures. v2: comment added, reference adde
String windings in the early universe
We study string dynamics in the early universe. Our motivation is the
proposal of Brandenberger and Vafa, that string winding modes may play a key
role in decompactifying three spatial dimensions. We model the universe as a
homogeneous but anisotropic 9-torus filled with a gas of excited strings. We
adopt initial conditions which fix the dilaton and the volume of the torus, but
otherwise assume all states are equally likely. We study the evolution of the
system both analytically and numerically to determine the late-time behavior.
We find that, although dynamical evolution can indeed lead to three large
spatial dimensions, such an outcome is not statistically favored.Comment: 26 pages, LaTeX, 4 eps figure
The Cosmology of Massless String Modes
We consider the spacetime dynamics of a gas of closed strings in the context
of General Relativity in a background of arbitrary spatial dimensions. Our
motivation is primarily late time String Gas Cosmology, where such a spacetime
picture has to emerge after the dilaton has stabilized. We find that after
accounting for the thermodynamics of a gas of strings, only string modes which
are massless at the self-dual radius are relevant, and that they lead to a
dynamics which is qualitatively different from that induced by the modes
usually considered in the literature. In the context of an ansatz with three
large spatial dimensions and an arbitrary number of small extra dimensions, we
obtain isotropic stabilization of these extra dimensions at the self-dual
radius. This stabilization occurs for fixed dilaton, and is induced by the
special string states we focus on. The three large dimensions undergo a regular
Friedmann-Robertson-Walker expansion. We also show that this framework for
late-time cosmology is consistent with observational bounds.Comment: 15 pages, no figures, references added (again
Moduli Stabilization in Brane Gas Cosmology with Superpotentials
In the context of brane gas cosmology in superstring theory, we show why it
is impossible to simultaneously stabilize the dilaton and the radion with a
general gas of strings (including massless modes) and D-branes. Although this
requires invoking a different mechanism to stabilize these moduli fields, we
find that the brane gas can still play a crucial role in the early universe in
assisting moduli stabilization. We show that a modest energy density of
specific types of brane gas can solve the overshoot problem that typically
afflicts potentials arising from gaugino condensation.Comment: minor changes to match the journal versio
Overproduction of cosmic superstrings
We show that the naive application of the Kibble mechanism seriously
underestimates the initial density of cosmic superstrings that can be formed
during the annihilation of D-branes in the early universe, as in models of
brane-antibrane inflation. We study the formation of defects in effective field
theories of the string theory tachyon both analytically, by solving the
equation of motion of the tachyon field near the core of the defect, and
numerically, by evolving the tachyon field on a lattice. We find that defects
generically form with correlation lengths of order M_s^{-1} rather than H^{-1}.
Hence, defects localized in extra dimensions may be formed at the end of
inflation. This implies that brane-antibrane inflation models where inflation
is driven by branes which wrap the compact manifold may have problems with
overclosure by cosmological relics, such as domain walls and monopoles.Comment: 31 pages, 16 figures, JHEP style; References added; Improved
discussion of initial condition
Non-relativistic Matrix Inflation
We reconsider a string theoretic inflationary model, where inflation is
driven by multiple coincident -branes in the finite limit. We show
that the finite action can be continued to the limit of large , where it
converges to the action for a wrapped -brane with units of U(1) flux.
This provides an important consistency check of the scenario and allows for
more control over certain back-reaction effects. We determine the most general
form of the action for a specific sub-class of models and examine the
non-relativistic limits of the theory where the branes move at speeds much less
than the speed of light. The non-Abelian nature of the world-volume theory
implies that the inflaton field is matrix valued and this results in
modifications to the slow-roll parameters and Hubble-flow equations. A specific
small field model of inflation is investigated where the branes move out of an
AdS throat, and observational constraints are employed to place bounds on the
background fluxes.Comment: 25 page