29 research outputs found
Moduli Stabilization with the String Higgs Effect
We review the notion of the Higgs effect in the context of string theory. We
find that by including this effect in time dependent backgrounds, one is led to
a natural mechanism for stabilizing moduli at points of enhanced gauge
symmetry. We consider this mechanism for the case of the radion (size of the
extra dimensions) and find that as decompactification of the large spatial
dimensions takes place the radion will remain stabilized at the self dual
radius. We discuss how this mechanism can be incorporated into models of string
cosmology and brane inflation to resolve some outstanding problems. We also
address some issues regarding which string states should be included when
constructing low energy actions in string cosmology.Comment: 20 pages, references added, typos correcte
Target space duality and moduli stabilization in String Gas Cosmology
Motivated by string gas cosmology, we investigate the stability of moduli
fields coming from compactifications of string gas on torus with background
flux. It was previously claimed that moduli are stabilized only at a single
fixed point in moduli space, a self-dual point of T-duality with vanishing
flux. Here, we show that there exist other stable fixed points on moduli space
with non-vanishing flux. We also discuss the more general target space
dualities associated with these fixed points.Comment: 12 pages, 1 figur
Late time evolution of brane gas cosmology and compact internal dimensions
We study the late-time behavior of a universe in the framework of brane gas
cosmology. We investigate the evolution of a universe with a gas of
supergravity particles and a gas of branes. Considering the case when different
dimensions are anisotropically wrapped by various branes, we have derived
Friedman-like equations governing the dynamics of wrapped and unwrapped
subvolumes. We point out that the compact internal dimensions are wrapped by
three or higher dimensional branes.Comment: 16 pages, typos, references, comment on the possibility of
stabilizing the internal dimensions with fluxe
Moduli Stabilization with Long Winding Strings
Stabilizing all of the modulus fields coming from compactifications of string
theory on internal manifolds is one of the outstanding challenges for string
cosmology. Here, in a simple example of toroidal compactification, we study the
dynamics of the moduli fields corresponding to the size and shape of the torus
along with the ambient flux and long strings winding both internal directions.
It is known that a string gas containing states with non-vanishing winding and
momentum number in one internal direction can stabilize the radius of this
internal circle to be at self-dual radius. We show that a gas of long strings
winding all internal directions can stabilize all moduli, except the dilaton
which is stabilized by hand, in this simple example.Comment: title changed, improved presentation; reference added. 18 pages, JHEP
styl
Vibrating Winding Branes, Wrapping Democracy and Stabilization of Extra Dimensions in Dilaton Gravity
We show that, in the context of dilaton gravity, a recently proposed
democratic principle for intersection possibilities of branes winding around
extra dimensions yield stabilization, even with the inclusion of momentum modes
of the wrapped branes on top of the winding modes. The constraints for
stabilization massaged by string theory inputs forces the number of observed
dimensions to be three. We also discuss consequences of adding ordinary matter
living in the observed dimensions.Comment: Added a section discussing the linear and non-linear stability of the
equilibrium point of the scale factors of the extra dimensions. Corrected a
typo in the original field equations and other typos. Added and changed
references. Final version appeared in JHE
Interaction Rates in String Gas Cosmology
We study string interaction rates in the Brandenberger-Vafa scenario, the
very early universe cosmology of a gas of strings. This cosmology starts with
the assumption that all spatial dimensions are compact and initially have
string scale radii; some dimensions grow due to some thermal or quantum
fluctuation which acts as an initial expansion velocity. Based on simple
arguments from the low energy equations of motion and string thermodynamics, we
demonstrate that the interaction rates of strings are negligible, so the common
assumption of thermal equilibrium cannot apply. We also present a new analysis
of the cosmological evolution of strings on compact manifolds of large radius.
Then we discuss modifications that should be considered to the usual
Brandenberger-Vafa scenario. To confirm our simple arguments, we give a
numerical calculation of the annihilation rate of winding strings. In
calculating the rate, we also show that the quantum mechanics of strings in
small spaces is important.Comment: 28pp, 3 figures, RevTeX
String Gas Cosmology
We present a critical review and summary of String Gas Cosmology. We include
a pedagogical derivation of the effective action starting from string theory,
emphasizing the necessary approximations that must be invoked. Working in the
effective theory, we demonstrate that at late-times it is not possible to
stabilize the extra dimensions by a gas of massive string winding modes. We
then consider additional string gases that contain so-called enhanced symmetry
states. These string gases are very heavy initially, but drive the moduli to
locations that minimize the energy and pressure of the gas. We consider both
classical and quantum gas dynamics, where in the former the validity of the
theory is questionable and some fine-tuning is required, but in the latter we
find a consistent and promising stabilization mechanism that is valid at
late-times. In addition, we find that string gases provide a framework to
explore dark matter, presenting alternatives to CDM as recently
considered by Gubser and Peebles. We also discuss quantum trapping with string
gases as a method for including dynamics on the string landscape.Comment: 55 pages, 1 figure, minor corrections, version to appear in Reviews
of Modern Physic
Effective Field Theory Approach to String Gas Cosmology
We derive the 4D low energy effective field theory for a closed string gas on
a time dependent FRW background. We examine the solutions and find that
although the Brandenberger-Vafa mechanism at late times no longer leads to
radion stabilization, the radion rolls slowly enough that the scenario is still
of interest. In particular, we find a simple example of the string inspired
dark matter recently proposed by Gubser and Peebles.Comment: 19 pages, 2 figures, comments adde
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
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