105 research outputs found
Implications of Non-universal Soft Masses on Gauge Coupling Unification
We study the gauge coupling unification of the minimal supersymmetric
standard model with non-universal soft scalar and gaugino masses. The
unification scale of the gauge couplings is estimated for non-universal cases.
It is sensitive to the non-universality. It turns out that these cases can be
combined with the assumption of string unification, which leads to a prediction
of and , the normalisation of the
generator. String unification predicts . These values have
non-trivial implications on string model building. Two-loop corrections are
also calculated. Some of these cases exhibit a large discrepancy between
experiment and string unification. We calculate string threshold corrections to
explain the discrepancy.Comment: 25 pages, Latex, 4 figures (not included
Exploiting Passive Stability for Hierarchical Control
The dynamics of a Spring Loaded Inverted Pendulum (SLIP) \templateâ [1] approximate well the center of mass (COM) of running animals, humans, and of the robot RHex [2]. Running control can therefore be ierarchically structured as a high level SLIP control and the anchoring of SLIP in the complex morphology of the physical system. Analysis of the sagittal plane lossless SLIP model has shown that it includes parameter regions where its gait is passively stabilized, i.e. with the discrete control input | the leg touchdown angle | held constant. We present numerical evidence to suggest that an open loop \clockâ excitation of a high degree of freedom hexapedal robot model can lead to asymptotically stable limit cycles that \anchorâ [1] the SLIP model in its self stabilizing regime. This motivates the search for completely feedforward SLIP locomotion control strategies, which we now speculate may be successfully used to elicit a self-stabilizing running robot such as RHex.
For more information: Kod*La
Supersymmetric Randall-Sundrum Scenario
We present the supersymmetric version of the minimal Randall-Sundrum model
with two opposite tension branes.Comment: Latex, 9 pages. Published versio
On orbifold theory and N=2, D=5 gauged supergravity
We have studied the most general N=2 supergravity in five dimensions in
context with the orbifold theory based on . Various ways to
treat the supersymmetry with singular sources placed in orbifold fixed points
were proposed in past. Supersymmetric branes were consistently introduced in a
bulk where a gauged supergravity was present. In this paper we find that in the
supergravity with general gauging, the possibility to obtain a
supersymmetric brane world is constrained. Imposing the compatibility of
supersymmetry transformation rules with the orbifold condition, we find the
necessary and sufficient condition to obtain supersymmetric branes and bulk
independently. We comment that the same condition guarantees naturally the
presence of singular BPS solutions.Comment: 16 page
Interesting consequences of brane cosmology
We discuss cosmology in four dimensions within a context of brane-world
scenario.Such models can predict chaotic inflation with very low reheat
temperature depending on the brane tension. We notice that the gravitino
abundance is different in the brane-world cosmology and by tuning the brane
tension it is possible to get extremely low abundance. We also study
Affleck-Dine baryogenesis in our toy model.Comment: 5 pages, Trivial changes to match the published versio
One loop gauge couplings in AdS5
We calculate the full 1-loop corrections to the low energy coupling of bulk
gauge boson in a slice of AdS5 which are induced by generic 5-dimensional
scalar, Dirac fermion, and vector fields with arbitrary Z_2 times Z_2' orbifold
boundary conditions. In supersymmetric limit, our results correctly reproduce
the results obtained by an independent method based on 4-dimensional effective
supergravity. This provides a nontrivial check of our results and assures the
regularization scheme-independence of the results.Comment: RevTeX, 22 pages, 2 figures, some typos corrected and notations
change
Supersymmetric Brane World Scenarios from Off-Shell Supergravity
Using N=2 off-shell supergravity in five dimensions, we supersymmetrize the
brane world scenario of Randall and Sundrum. We extend their construction to
include supersymmetric matter at the fixpoints.Comment: 15 pages, no figures, late
Mediation of supersymmetry breaking in extra dimensions
We review the mechanisms of supersymmetry breaking mediation that occur in
sequestered models, where the visible and the hidden sectors are separated by
an extra dimension and communicate only via gravitational interactions. By
locality, soft breaking terms are forbidden at the classical level and reliably
computable within an effective field theory approach at the quantum level. We
present a self-contained discussion of these radiative gravitational effects
and the resulting pattern of soft masses, and give an overview of realistic
model building based on this set-up. We consider both flat and warped extra
dimensions, as well as the possibility that there be localized kinetic terms
for the gravitational fields.Comment: LaTex, 15 pages; brief review prepared for MPLA. v2: minor
correction
Supersymmetric branes with (almost) arbitrary tensions
We present a supersymmetric version of the two-brane Randall-Sundrum
scenario, with arbitrary brane tensions T_1 and T_2, subject to the bound
|T_{1,2}| \leq \sqrt{-6\Lambda_5}, where \Lambda_5 < 0 is the bulk cosmological
constant. Dimensional reduction gives N=1, D=4 supergravity, with cosmological
constant \Lambda_4 in the range \half\Lambda_5 \leq \Lambda_4 \leq 0. The case
with \Lambda_4 = 0 requires T_1 = -T_2 = \sqrt{-6\Lambda_5}. This work unifies
and generalizes previous approaches to the supersymmetric Randall-Sundrum
scenario. It also shows that the Randall-Sundrum fine-tuning is not a
consequence of supersymmetry.Comment: 19pp; Published versio
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