331 research outputs found
Eluding SUSY at every genus on stable closed string vacua
In closed string vacua, ergodicity of unipotent flows provide a key for
relating vacuum stability to the UV behavior of spectra and interactions.
Infrared finiteness at all genera in perturbation theory can be rephrased in
terms of cancelations involving only tree-level closed strings scattering
amplitudes. This provides quantitative results on the allowed deviations from
supersymmetry on perturbative stable vacua. From a mathematical perspective,
diagrammatic relations involving closed string amplitudes suggest a relevance
of unipotent flows dynamics for the Schottky problem and for the construction
of the superstring measure.Comment: v2, 17 pages, 8 figures, typos corrected, new figure added with 3
modular images of long horocycles,(obtained with Mathematica
The Asymptotic Dynamics of two-dimensional (anti-)de Sitter Gravity
We show that the asymptotic dynamics of two-dimensional de Sitter or anti-de
Sitter Jackiw-Teitelboim (JT) gravity is described by a generalized
two-particle Calogero-Sutherland model. This correspondence is established by
formulating the JT model of (A)dS gravity in two dimensions as a topological
gauge theory, which reduces to a nonlinear 0+1-dimensional sigma model on the
boundary of (A)dS space. The appearance of cyclic coordinates allows then a
further reduction to the Calogero-Sutherland quantum mechanical model.Comment: 16 pages, LaTeX, no figures, uses JHEP.cls. v2: Some references and
comments added. v3: Minor errors correcte
Integral group actions on symmetric spaces and discrete duality symmetries of supergravity theories
For a split, simply connected, semisimple Lie group of rank
and the maximal compact subgroup of , we give a method for computing
Iwasawa coordinates of using the Chevalley generators and the Steinberg
presentation. When is a scalar coset for a supergravity theory in
dimensions , we determine the action of the integral form
on . We give explicit results for the action of the
discrete --duality groups and on the
scalar cosets and
for type IIB supergravity
in ten dimensions and 11--dimensional supergravity in dimensions,
respectively. For the former, we use this to determine the discrete U--duality
transformations on the scalar sector in the Borel gauge and we describe the
discrete symmetries of the dyonic charge lattice. We determine the
spectrum--generating symmetry group for fundamental BPS solitons of type IIB
supergravity in dimensions at the classical level and we propose an
analog of this symmetry at the quantum level. We indicate how our methods can
be used to study the orbits of discrete U--duality groups in general
Drivers of distance-decay in bryophyte assemblages at multiple spatial scales: Dispersal limitations or environmental control?
Questions: Despite the increasing scientific interest in distance decay of compositional similarity in ecology, the scale dependence of geographical versus environmental control on distance decay of biological communities has not been properly addressed so far. The present work highlights the relative importance of niche-based processes versus dispersal limitations on distance decay patterns of epilithic bryophyte assemblages at different spatial scales. Location: Serra de Sintra, central Portugal. Methods: We adopted a nested sampling design with 32 selected sampling sites in each of which two clusters, each with five rocks, were surveyed. Each cluster was characterized by a set of 15 macroscale variables, which were divided into environmental and anthropogenic. For each rock eight microscale variables were recorded. Partial Mantel tests were used to assess the relative importance of geographical and environmental distance on community dissimilarity for each grain size (site, cluster, rock). Quantile regressions were used to describe the decay patterns of community similarity with respect to geographical and environmental distances. Ordination analyses and variation partitioning techniques were applied to assess the pure and shared effects of measured variables on bryophyte community composition. Results: Environmental distance based upon macroscale predictors was significantly correlated to community similarity, while no significant correlation was found for ecological distance calculated for microscale predictors, except at the largest grain size. The decrease of community similarity with geographical and environmental distance was thus consistently strengthened with increasing sample grain. Compositional variation was best explained by anthropogenic variables. Conclusions: The relative importance of environmental versus geographical distance on compositional similarity in epilithic bryophyte communities varies with the spatial scale of the predictors and with the sample grain. The decrease of similarity with increasing distance is related to changes in habitat features, especially those driven by human disturbance, while it is weakly affected by variations in substrate features
Noncommutative Gravity in two Dimensions
We deform two-dimensional topological gravity by making use of its gauge
theory formulation. The obtained noncommutative gravity model is shown to be
invariant under a class of transformations that reduce to standard
diffeomorphisms once the noncommutativity parameter is set to zero. Some
solutions of the deformed model, like fuzzy AdS_2, are obtained. Furthermore,
the transformation properties of the model under the Seiberg-Witten map are
studied.Comment: 20 pages, LaTeX, references and some comments adde
Gravity in the 3+1-Split Formalism II: Self-Duality and the Emergence of the Gravitational Chern-Simons in the Boundary
We study self-duality in the context of the 3+1-split formalism of gravity
with non-zero cosmological constant. Lorentzian self-dual configurations are
conformally flat spacetimes and have boundary data determined by classical
solutions of the three-dimensional gravitational Chern-Simons. For Euclidean
self-dual configurations, the relationship between their boundary initial
positions and initial velocity is also determined by the three-dimensional
gravitational Chern-Simons. Our results imply that bulk self-dual
configurations are holographically described by the gravitational Chern-Simons
theory which can either viewed as a boundary generating functional or as a
boundary effective action.Comment: 25 pages; v2: minor improvements, references adde
Emission of correlated photon pairs from superluminal perturbations in dispersive media
We develop a perturbative theory that describes a superluminal refractive
perturbation propagating in a dispersive medium and the subsequent excitation
of the quantum vacuum zero-point fluctuations. We find a process similar to the
anomalous Doppler effect: photons are emitted in correlated pairs and mainly
within a Cerenkov-like cone, one on the forward and the other in backward
directions. The number of photon pairs emitted from the perturbation increases
strongly with the degree of superluminality and under realizable experimental
conditions, it can reach up to ~0.01 photons per pulse. Moreover, it is in
principle possible to engineer the host medium so as to modify the effective
group refractive index. In the presence of "fast light" media, e.g. a with
group index smaller than unity, a further ~10x enhancement may be achieved and
the photon emission spectrum is characterized by two sharp peaks that, in
future experiments would clearly identify the correlated emission of photon
pairs.Comment: 9 pages, 7 figure
Gravity on a fuzzy sphere
We propose an action for gravity on a fuzzy sphere, based on a matrix model.
We find striking similarities with an analogous model of two dimensional
gravity on a noncommutative plane, i.e. the solution space of both models is
spanned by pure U(2) gauge transformations acting on the background solution of
the matrix model, and there exist deformations of the classical diffeomorphisms
which preserve the two-dimensional noncommutative gravity actions.Comment: 14 pages, no figures, LaTe
Supersymmetric gyratons in five dimensions
We obtain the gravitational and electromagnetic field of a spinning radiation
beam-pulse (a gyraton) in minimal five-dimensional gauged supergravity and show
under which conditions the solution preserves part of the supersymmetry. The
configurations represent generalizations of Lobatchevski waves on AdS with
nonzero angular momentum, and possess a Siklos-Virasoro reparametrization
invariance. We compute the holographic stress-energy tensor of the solutions
and show that it transforms without anomaly under these reparametrizations.
Furthermore, we present supersymmetric gyratons both in gauged and ungauged
five-dimensional supergravity coupled to an arbitrary number of vector
supermultiplets, which include gyratons on domain walls.Comment: 25 pages, no figures, uses JHEP3.cls. Final version to appear in CQ
Noncommutative Electrodynamics
In this paper we define a causal Lorentz covariant noncommutative (NC)
classical Electrodynamics. We obtain an explicit realization of the NC theory
by solving perturbatively the Seiberg-Witten map. The action is polynomial in
the field strenght , allowing to preserve both causality and Lorentz
covariance. The general structure of the Lagrangian is studied, to all orders
in the perturbative expansion in the NC parameter . We show that
monochromatic plane waves are solutions of the equations of motion to all
orders. An iterative method has been developed to solve the equations of motion
and has been applied to the study of the corrections to the superposition law
and to the Coulomb law.Comment: 13 pages, 2 figures, one reference adde
- âŠ