4,016 research outputs found
Charging Interacting Rotating Black Holes in Heterotic String Theory
We present a formulation of the stationary bosonic string sector of the whole
toroidally compactified effective field theory of the heterotic string as a
double Ernst system which, in the framework of General Relativity describes, in
particular, a pair of interacting spinning black holes; however, in the
framework of low--energy string theory the double Ernst system can be
particularly interpreted as the rotating field configuration of two interacting
sources of black hole type coupled to dilaton and Kalb--Ramond fields. We
clarify the rotating character of the --component of the
antisymmetric tensor field of Kalb--Ramond and discuss on its possible torsion
nature. We also recall the fact that the double Ernst system possesses a
discrete symmetry which is used to relate physically different string vacua.
Therefore we apply the normalized Harrison transformation (a charging symmetry
which acts on the target space of the low--energy heterotic string theory
preserving the asymptotics of the transformed fields and endowing them with
multiple electromagnetic charges) on a generic solution of the double Ernst
system and compute the generated field configurations for the 4D effective
field theory of the heterotic string. This transformation generates the
vector field content of the whole low--energy heterotic string
spectrum and gives rise to a pair of interacting rotating black holes endowed
with dilaton, Kalb--Ramond and multiple electromagnetic fields where the charge
vectors are orthogonal to each other.Comment: 15 pages in latex, revised versio
String theory extensions of Einstein-Maxwell fields: the static case
We present a new approach for generation of solutions in the four-dimensional
heterotic string theory with one vector field and in the five-dimensional
bosonic string theory starting from the static Einstein-Maxwell fields. Our
approach allows one to construct the solution classes invariant with respect to
the total subgroup of the three-dimensional charging symmetries of these string
theories. The new generation procedure leads to the extremal
Israel-Wilson-Perjes subclass of string theory solutions in a special case and
provides its natural continuous extension to the realm of non-extremal
solutions. We explicitly calculate all string theory solutions related to
three-dimensional gravity coupled to an effective dilaton field which arises
after an appropriate charging symmetry invariant reduction of the static
Einstein-Maxwell system.Comment: 19 pages in late
4D gravity localized in non Z_2-symmetric thick branes
We present a comparative analysis of localization of 4D gravity on a non
Z_2-symmetric scalar thick brane in both a 5-dimensional Riemannian space time
and a pure geometric Weyl integrable manifold. This work was mainly motivated
by the hypothesis which claims that Weyl geometries mimic quantum behaviour
classically. We start by obtaining a classical 4-dimensional Poincare invariant
thick brane solution which does not respect Z_2-symmetry along the
(non-)compact extra dimension. The scalar energy density of our field
configuration represents several series of thick branes with positive and
negative energy densities centered at y_0. The only qualitative difference we
have encountered when comparing both frames is that the scalar curvature of the
Riemannian manifold turns out to be singular for the found solution, whereas
its Weylian counterpart presents a regular behaviour. By studying the
transverse traceless modes of the fluctuations of the classical backgrounds, we
recast their equations into a Schroedinger's equation form with a volcano
potential of finite bottom (in both frames). By solving the Schroedinger
equation for the massless zero mode m^2=0 we obtain a single bound state which
represents a stable 4-dimensional graviton in both frames. We also get a
continuum gapless spectrum of KK states with positive m^2>0 that are suppressed
at y_0, turning into continuum plane wave modes as "y" approaches spatial
infinity. We show that for the considered solution to our setup, the potential
is always bounded and cannot adopt the form of a well with infinite walls;
thus, we do not get a discrete spectrum of KK states, and we conclude that the
claim that Weylian structures mimic, classically, quantum behaviour does not
constitute a generic feature of these geometric manifolds.Comment: 13 pages, 4 figures, JHEP forma
The Inverse Scattering Method, Lie-Backlund Transformations and Solitons for Low-energy Effective Field Equations of 5D String Theory
In the framework of the 5D low-energy effective field theory of the heterotic
string with no vector fields excited, we combine two non-linear methods in
order to construct a solitonic field configuration. We first apply the inverse
scattering method on a trivial vacuum solution and obtain an stationary
axisymmetric two-soliton configuration consisting of a massless gravitational
field coupled to a non-trivial chargeless dilaton and to an axion field endowed
with charge. The implementation of this method was done following a scheme
previously proposed by Yurova. We also show that within this scheme, is not
possible to get massive gravitational solitons at all. We then apply a
non-linear Lie-Backlund matrix transformation of Ehlers type on this massless
solution and get a massive rotating axisymmetric gravitational soliton coupled
to axion and dilaton fields endowed with charges. We study as well some
physical properties of the constructed massless and massive solitons and
discuss on the effect of the generalized solution generating technique on the
seed solution and its further generalizations.Comment: 17 pages in latex, changed title, improved text, added reference
3D heterotic string theory: new approach and extremal solutions
We develop a new formalism for the bosonic sector of low-energy heterotic
string theory toroidally compactified to three dimensions. This formalism is
based on the use of some single non-quadratic real matrix potential which
transforms linearly under the action of subgroup of the three-dimensional
charging symmetries. We formulate a new charging symmetry invariant approach
for the symmetry generation and straightforward construction of asymptotically
flat solutions. Finally, using the developed approach and the established
formal analogy between the heterotic and Einstein-Maxwell theories, we
construct a general class of the heterotic string theory extremal solutions of
the Israel-Wilson-Perjes type. This class is asymptotically flat and charging
symmetry complete; it includes the extremal solutions constructed before and
possesses the non-trivial bosonic string theory limit.Comment: 20 pages in Late
Mass gap for gravity localized on Weyl thick branes
We study the properties of a previously found family of thick brane
configurations in a pure geometric Weyl integrable 5D space time, a
non-Riemannian generalization of Kaluza-Klein (KK) theory involving a geometric
scalar field. Thus the 5D theory describes gravity coupled to a
self-interacting scalar field which gives rise to the structure of the thick
branes. Analyzing the graviton spectrum for this class of models, we find that
a particularly interesting situation arises for a special case in which the 4D
graviton is separated from the KK gravitons by a mass gap. The corresponding
effective Schroedinger equation has a modified Poeschl-Teller potential and can
be solved exactly. Apart from the massless 4D graviton, it contains one massive
KK bound state, and the continuum spectrum of delocalized KK modes. We discuss
the mass hierarchy problem, and explicitly compute the corrections to Newton's
law in the thin brane limit.Comment: 6 pages in Revtex, no figures, journal version, significately revised
and extende
Fructosyltransferase Sources, Production, and Applications for Prebiotics Production
Fructooligosaccharides (FOS) are considered prebiotic compounds and are found in different vegetables and fruits but at low concentrations. FOS are produced by enzymatic transformation of sucrose using fructosyltransferase (FTase). Development of new production methods and search for FTase with high activity and stability for FOS production Is an actual research topic. In this article is discussed the most recent advances on FTase and its applications. Different microorganisms have been tested under various fermentation systems in order to identify and characterize new genes codifying for FTase. Some of these genes have been isolated from bacteria, fungi, and plants, with a wide range of percentages of identity but retaining the eight highly conserved motifs of the hydrolase family 32 glycoside. Therefore, this article presents an overview of the most recent advances on FTase and its applications
Effective Monopoles within Thick Branes
The monopole mass is revealed to be considerably modified in the thick
braneworld paradigm, and depends on the position of the monopole in the brane
as well. Accordingly, the monopole radius continuously increases, leading to an
unacceptable setting that can be circumvented when the brane thickness has an
upper limit. Despite such peculiar behavior, the quantum corrections accrued --
involving the classical monopole solution -- are shown to be still under
control. We analyze the monopole's peculiarities also taking into account the
localization of the gauge fields. Furthermore, some additional analysis in the
thick braneworld context and the similar behavior evinced by the topological
string are investigated.Comment: 7 pages, 1 figur
Revan-degree indices on random graphs
Given a simple connected non-directed graph , we consider two
families of graph invariants:
(which has gained interest recently) and (that we introduce in this work); where denotes the edge of
connecting the vertices and , is the Revan degree of the
vertex , and is a function of the Revan vertex degrees. Here, with and the maximum and minimum
degrees among the vertices of and is the degree of the vertex .
Particularly, we apply both and R on two models of
random graphs: Erd\"os-R\'enyi graphs and random geometric graphs. By a
thorough computational study we show that \left and
\left, normalized to the order of the graph, scale
with the average Revan degree \left; here \left
denotes the average over an ensemble of random graphs. Moreover, we provide
analytical expressions for several graph invariants of both families in the
dense graph limit.Comment: 16 pages, 10 figure
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