205 research outputs found

    On the general structure of gauged Wess-Zumino-Witten terms

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    The problem of gauging a closed form is considered. When the target manifold is a simple Lie group G, it is seen that there is no obstruction to the gauging of a subgroup H\subset G if we may construct from the form a cocycle for the relative Lie algebra cohomology (or for the equivariant cohomology), and an explicit general expression for these cocycles is given. The common geometrical structure of the gauged closed forms and the D'Hoker and Weinberg effective actions of WZW type, as well as the obstructions for their existence, is also exhibited and explained.Comment: Some changes. 23 pages; latex2e file. To appear in Nucl. Phys.

    Testing Hardy nonlocality proof with genuine energy-time entanglement

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    We show two experimental realizations of Hardy ladder test of quantum nonlocality using energy-time correlated photons, following the scheme proposed by A. Cabello \emph{et al.} [Phys. Rev. Lett. \textbf{102}, 040401 (2009)]. Unlike, previous energy-time Bell experiments, these tests require precise tailored nonmaximally entangled states. One of them is equivalent to the two-setting two-outcome Bell test requiring a minimum detection efficiency. The reported experiments are still affected by the locality and detection loopholes, but are free of the post-selection loophole of previous energy-time and time-bin Bell tests.Comment: 5 pages, revtex4, 6 figure

    Swinging Atwood's Machine: Experimental and Theoretical Studies

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    A Swinging Atwood Machine (SAM) is built and some experimental results concerning its dynamic behaviour are presented. Experiments clearly show that pulleys play a role in the motion of the pendulum, since they can rotate and have non-negligible radii and masses. Equations of motion must therefore take into account the inertial momentum of the pulleys, as well as the winding of the rope around them. Their influence is compared to previous studies. A preliminary discussion of the role of dissipation is included. The theoretical behaviour of the system with pulleys is illustrated numerically, and the relevance of different parameters is highlighted. Finally, the integrability of the dynamic system is studied, the main result being that the Machine with pulleys is non-integrable. The status of the results on integrability of the pulley-less Machine is also recalled.Comment: 37 page

    Biotechnologies and bioinspired materials for the construction industry : an overview

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    Published online: 16 Oct 2013Looking back to less than three centuries of industrialization, responsible for alarming levels of pollution and consumption of non-renewable resources that has led to the exhaustion of the earth’s capacity, the humankind only now begins to grasp the overwhelming potential of natural systems. During almost 40 million centuries, Nature has developed materials and processes with optimal performance which are totally biodegradable. Analysis of bioinspired materials requires the knowledge of both biological and engineering principles which are being a part of a large research area termed biotechnology. This hot area is one of the six strategic Key Enabling Technologies that will be funded under the EU Framework Programme Horizon 2020. This paper reviews the current knowledge on the potential of this emerging field, particularly in the development of materials and technologies for the construction industry. It covers the use of bacteria for enhancing concrete durability and for soil stabilization. It also covers bioinspired tough composite materials, bioinspired adhesives and coatings, and self-cleaning materials. Incorporation of biology basics in the civil engineering curriculum would ease the communication between biologists and civil engineers, helping to foster research on biotechnologies and bioinspired materials for the construction industry

    Tracing the evolution of nearby early-type galaxies in low density environments. The Ultraviolet view from GALEX

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    We detected recent star formation in nearby early-type galaxies located in low density environments, with GALEX Ultraviolet (UV) imaging. Signatures of star formation may be present in the nucleus and in outer rings/arm like structures. Our study suggests that such star formation may be induced by different triggering mechanisms, such as the inner secular evolution driven by bars, and minor accretion phenomena. We investigate the nature of the (FUV-NUV) color vs. Mg2 correlation, and suggest that it relates to "downsizing" in galaxy formation.Comment: Conference "UV Universe 2010" S. Petersburg 31 May - 3 June, 2010 Accepted for publication in Astrophysics & Space Science . The final publication is available at http://www.springerlink.co

    Spectral analysis and zeta determinant on the deformed spheres

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    We consider a class of singular Riemannian manifolds, the deformed spheres SkNS^N_k, defined as the classical spheres with a one parameter family g[k]g[k] of singular Riemannian structures, that reduces for k=1k=1 to the classical metric. After giving explicit formulas for the eigenvalues and eigenfunctions of the metric Laplacian ΔSkN\Delta_{S^N_k}, we study the associated zeta functions ζ(s,ΔSkN)\zeta(s,\Delta_{S^N_k}). We introduce a general method to deal with some classes of simple and double abstract zeta functions, generalizing the ones appearing in ζ(s,ΔSkN)\zeta(s,\Delta_{S^N_k}). An application of this method allows to obtain the main zeta invariants for these zeta functions in all dimensions, and in particular ζ(0,ΔSkN)\zeta(0,\Delta_{S^N_k}) and ζ(0,ΔSkN)\zeta'(0,\Delta_{S^N_k}). We give explicit formulas for the zeta regularized determinant in the low dimensional cases, N=2,3N=2,3, thus generalizing a result of Dowker \cite{Dow1}, and we compute the first coefficients in the expansion of these determinants in powers of the deformation parameter kk.Comment: 1 figur

    An algorithm for computing invariants of differential Galois groups

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    Contains fulltext : 28572.pdf (Author’s version preprint ) (Open Access
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