179 research outputs found
Multi-Higgs Mass Spectrum in Gauge-Higgs Unification
We study an SU(2) supersymmetric gauge model in a framework of gauge-Higgs
unification. Multi-Higgs spectrum appears in the model at low energy. We
develop a useful perturbative approximation scheme for evaluating effective
potential to study the multi-Higgs mass spectrum. We find that both
tree-massless and massive Higgs scalars obtain mass corrections of similar size
from finite parts of the loop effects. The corrections modify multi-Higgs mass
spectrum, and hence, the loop effects are significant in view of future
verifications of the gauge-Higgs unification scenario in high-energy
experiments.Comment: 32 pages; typos corrected and a few comments added, published versio
Vector/tensor duality in the five dimensional supersymmetric Green-Schwarz mechanism
The five dimensional version of the Green-Schwarz mechanism can be invoked to
cancel U(1) anomalies on the boundaries of brane world models. In five
dimensions there are two dual descriptions that employ either a two-form tensor
field or a vector field. We present the supersymmetric extensions of these dual
theories using four dimensional N=1 superspace. For the supersymmetrization of
the five dimensional Chern-Simons three form this requires the introduction of
a new chiral Chern-Simons multiplet. We derive the supersymmetric vector/tensor
duality relations and show that not only is the usual one/two-form duality
modified, but that there is also an interesting duality relation between the
scalar components. Furthermore, the vector formulation always contains singular
boundary mass terms which are absent in the tensor formulation. This apparent
inconsistency is resolved by showing that in either formulation the four
dimensional anomalous U(1) mass spectrum is identical, with the lowest lying
Kaluza-Klein mode generically obtaining a finite nonzero mass.Comment: 1+35 pages, LaTeX, 1 figure, references added, typos correcte
Worldlines on Orbifolds and the Fayet-Iliopoulos Term
We adapt ``string-inspired'' worldline techniques to one-loop calculations on
orbifolds, in particular on the orbifold. Our method also allows for
the treatment of brane-localized terms, or bulk-brane couplings. For
demonstration, we reproduce the well-known result for the one-loop induced
Fayet-Iliopoulos term in rigidly supersymmetric Abelian gauge theory, and
generalize it to the case where soft supersymmetry breaking mass terms for the
bulk scalar fields are present on the branes.Comment: Typos corrected, clarifying remarks adde
Divergences in Kaluza-Klein Models and their String Regularization
Effective field theories with (large) extra dimensions are studied within a
physical regularization scheme provided by string theory. Explicit string
calculations then allow us to consistently analyze the ultraviolet sensitivity
of Kaluza--Klein theories in the presence or absence of low energy
supersymmetry.Comment: 50 pages, LaTe
Nonlinear Properties of Vielbein Massive Gravity
We propose a non-linear extension of the Fierz-Pauli mass for the graviton
through a functional of the vielbein and an external Minkowski background. The
functional generalizes the notion of the measure, since it reduces to a
cosmological constant if the external background is formally sent to zero. Such
a term and the explicit external background, emerge dynamically from a
bi--gravity theory, having both a massless and a massive graviton in its
spectrum, in a specific limit in which the massless mode decouples, while the
massive one couples universally to matter. We investigate the massive theory
using the Stueckelberg method and providing a 't Hooft-Feynman gauge fixing in
which the tensor, vector and scalar Stueckelberg fields decouple. We show that
this model has the softest possible ultraviolet behavior which can be expected
from any generic (Lorentz invariant) theory of massive gravity, namely that it
becomes strong only at the scale Lambda_3 = (m_g^2 M_P)^{1/3}.Comment: 23+1 pages LaTeX, 3 figures, few typos correcte
6D Effective Action of Heterotic Compactification on K3 with nontrivial Gauge Bundles
We compute the six-dimensional effective action of the heterotic string
compactified on K3 for the standard embedding and for a class of backgrounds
with line bundles and appropriate Yang-Mills fluxes. We compute the couplings
of the charged scalars and the bundle moduli as functions of the geometrical K3
moduli from a Kaluza-Klein analysis. We derive the D-term potential and show
that in the flux backgrounds U(1) vector multiplets become massive by a
Stuckelberg mechanism.Comment: 41 pages, typos corrected, references adde
Heterotic SO(32) model building in four dimensions
Four dimensional heterotic SO(32) orbifold models are classified
systematically with model building applications in mind. We obtain all Z3, Z7
and Z2N models based on vectorial gauge shifts. The resulting gauge groups are
reminiscent of those of type-I model building, as they always take the form
SO(2n_0)xU(n_1)x...xU(n_{N-1})xSO(2n_N). The complete twisted spectrum is
determined simultaneously for all orbifold models in a parametric way depending
on n_0,...,n_N, rather than on a model by model basis. This reveals interesting
patterns in the twisted states: They are always built out of vectors and
anti--symmetric tensors of the U(n) groups, and either vectors or spinors of
the SO(2n) groups. Our results may shed additional light on the S-duality
between heterotic and type-I strings in four dimensions. As a spin-off we
obtain an SO(10) GUT model with four generations from the Z4 orbifold.Comment: 1+37 pages LaTeX, some typos in table 4 corrected, and we have
included some discussion on exceptional shift vectors which ignored in the
previous version
Cosmological Perturbations with Multiple Fluids and Fields
We consider the evolution of perturbed cosmological spacetime with multiple
fluids and fields in Einstein gravity. Equations are presented in gauge-ready
forms, and are presented in various forms using the curvature (\Phi or
\phi_\chi) and isocurvature (S_{(ij)} or \delta \phi_{(ij)}) perturbation
variables in the general background with K and \Lambda. We clarify the
conditions for conserved curvature and isocurvature perturbations in the
large-scale limit. Evolutions of curvature perturbations in many different
gauge conditions are analysed extensively. In the multi-field system we present
a general solution to the linear order in slow-roll parameters.Comment: 19 pages, 6 figures, revised thoroughly; published version in Class.
Quant. Gra
Localized anomalies in orbifold gauge theories
We apply the path-integral formalism to compute the anomalies in general
orbifold gauge theories (including possible non-trivial Scherk-Schwarz boundary
conditions) where a gauge group G is broken down to subgroups H_f at the fixed
points y=y_f. Bulk and localized anomalies, proportional to \delta(y-y_f), do
generically appear from matter propagating in the bulk. The anomaly zero-mode
that survives in the four-dimensional effective theory should be canceled by
localized fermions (except possibly for mixed U(1) anomalies). We examine in
detail the possibility of canceling localized anomalies by the Green-Schwarz
mechanism involving two- and four-forms in the bulk. The four-form can only
cancel anomalies which do not survive in the 4D effective theory: they are
called globally vanishing anomalies. The two-form may cancel a specific class
of mixed U(1) anomalies. Only if these anomalies are present in the 4D theory
this mechanism spontaneously breaks the U(1) symmetry. The examples of five and
six-dimensional Z_N orbifolds are considered in great detail. In five
dimensions the Green-Schwarz four-form has no physical degrees of freedom and
is equivalent to canceling anomalies by a Chern-Simons term. In all other
cases, the Green-Schwarz forms have some physical degrees of freedom and leave
some non-renormalizable interactions in the low energy effective theory. In
general, localized anomaly cancellation imposes strong constraints on model
building.Comment: 30 pages, 4 figures. v2: reference adde
Reductions in global biodiversity loss predicted from conservation spending
Halting global biodiversity loss is central to both the Convention on Biological Diversity (CBD) and United Nations Sustainable Development Goals (SDGs)1,2, but success to date has been very limited3–5. A critical determinant of overall strategic success (or failure) is the financing committed to biodiversity6–9; however, financing decisions are still hindered by considerable uncertainty over what any investment is likely to achieve6–9.. For greater effectiveness, we need an evidence-based model (EBM)10–12 showing how conservation spending quantitatively reduces the rate of loss. Here, we empirically quantify how i$14.4 billion of conservation investment reduced biodiversity loss across 109 signatory countries between 1996 and 2008, by an average 29% per country. We also show that biodiversity change in signatory countries can be predicted with high accuracy, using a dual model that combines the positive impact of conservation investment with the negative impact of economic, agricultural and population growth (i.e. human development pressures)13–18. Decision-makers can use this dual model to forecast the improvement that any proposed biodiversity budget would achieve under various scenarios of human development pressure, comparing those forecasts to any chosen policy target (including the CBD and SDGs). Importantly, we further find that spending impacts shrink as human development pressures grow, implying that funding may need to increase over time. The model therefore offers a flexible tool for balancing the SDGs of human development and biodiversity, by predicting the dynamic changes needed in conservation finance as human development proceeds
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