Open Gromov-Witten Invariants of Toric Calabi-Yau 3-Folds

We present a proof of the mirror conjecture of Aganagic and Vafa (Mirror Symmetry, D-Branes and Counting Holomorphic Discs. http://arxiv.org/abs/hep-th/0012041v1, 2000) and Aganagic et al. (Z Naturforsch A 57(1–2):128, 2002) on disk enumeration in toric Calabi-Yau 3-folds for all smooth semi-projective toric Calabi-Yau 3-folds. We consider both inner and outer branes, at arbitrary framing. In particular, we recover previous results on the conjecture for (i) an inner brane at zero framing in ${K_{\mathbb{P}^2}}$ K P 2 (Graber-Zaslow, Contemp Math 310:107–121, 2002), (ii) an outer brane at arbitrary framing in the resolved conifold ${\mathcal{O}_{\mathbb{P}^1}(-1)\oplus \mathcal{O}_{\mathbb{P}^1}(-1)}$ O P 1 ( - 1 ) ⊕ O P 1 ( - 1 ) (Zhou, Open string invariants and mirror curve of the resolved conifold. http://arxiv.org/abs/1001.0447v1 [math.AG], 2010), and (iii) an outer brane at zero framing in ${K_{\mathbb{P}^2}}$ K P 2 (Brini, Open topological strings and integrable hierarchies: Remodeling the A-model. http://arxiv.org/abs/1102.0281 [hep-th], 2011).     

Consortium GARR and the European National Research and Education Networks Optical Infrastructure Developments

Abstract

GARR is engineering its next generation of the Italian Research and Education Network (GARR-X), which will exploit a countrywide optical infrastructure based on DWDM equipment and advanced multi-domain services. The trend is common in all National Research and Education Networks [1 TERENA NREN Compendium. http://www.terena.org/activities/compendium ISSN 1569-4496 [Google Scholar]] in Europe and worldwide. NRENs are relying more and more on direct use of optical equipment to fulfill the researchers' requirements. These hybrid networks are built to provide services on a multi-domain environment both at the circuit and at the IP layer for researchers in, for example, radio astronomy (eVLBI [2 European Very Long Baseline Interferometry http://www.evlbi.org [Google Scholar]]), GRID computing (EGEE [3 Enabling Grids for E-sciencE http://public.eu-egee.org [Google Scholar]], LHC [4 The Large Hadron Collider http://lhc.web.cern.ch/lhc [Google Scholar]]), high-performance computing (DEISA [5 The Distributed European Infrastructure for Supercomputing Applications http://www.deisa.org [Google Scholar]]). This article outlines the status and issues of ongoing research activities in GARR [6 http://www.garr.it/garr-b-home-engl.shtmlConsortium GARR, the Italian NREN [Google Scholar]] and NRENs to provide, manage, and evolve dedicated optical-based networks for providing multi-domain end-to-end services. The research is performed mainly in the framework of the European Commission co-funded project GÉANT2 [7 The pan-European R&E network http://www.geant2.net [Google Scholar]].     

Atomic and nuclear data services of the International Atomic Energy Agency

The Nuclear Data Section (NDS) of the International Atomic Energy Agency (IAEA) offers cost-free nuclear data services to scientists worldwide. Most major experimental, evaluated, and bibliographic databases are made available through the Internet, as well as on CD-ROM and other media. These databases are used in a wide range of applications, including fission-, fusion-energy, and non-energy applications and basic research studies. The most important nuclear reaction and nuclear structure databases and selected special purpose libraries are overviewed. Multinational data networks and highly-focused Coordinated Research Projects (CRPs) are organised and sponsored under the auspices of the IAEA for the development and assembly of databases through the participation of recognized specialists from Member States. Further information concerning the various services can be found through the IAEA-NDS Web address http://www-nds.iaea.org, while mirror sites at IPEN, Brazil, and BARC, India, can be accessed through the addresses http://www-nds.ipen.br/ and http://www-nds.indcentre.org.in/, respectively.     

Orbital stability of the smooth solitary wave with nonzero asymptotic value for the mCH equation

This paper is concerned with orbital stability of the smooth solitary wave with nonzero asymptotic value for the mCH equation

Under the parametric conditions a > 0 and , an interesting phenomenon is discovered, that is, for the stability there exist three bifurcation wave speeds

such that the following conclusions hold.

1. When wave speed belongs to the interval (c₁, c₂) for , the smooth solitary wave is orbitally stable.

2. When wave speed belongs to the interval (c₂, c₃) for , the smooth solitary wave is orbitally unstable.

3. When wave speed belongs to the interval (c₁, c₃) for , the smooth solitary wave is orbitally unstable.

     

Towards Adaptive,Streaming Analysis of X-ray Tomography Data

Temporal and spatial resolution of chemical imaging methodologies such as X-ray tomography are rapidly increasing, leading to more complex experimental procedures and fast-growing data volumes. Automated analysis pipelines and big data analytics are becoming essential to effectively evaluate the results of such experiments. Offering those data techniques in an adaptive, streaming environment can further substantially improve the scientific discovery process by enabling experimental control and steering based on the evaluation of emerging phenomena as they are observed by the experiment. Pacific Northwest National Laboratory (PNNL)'s Chemical Imaging Initiative (CII, http://imaging.pnnl.gov/) has worked since 2011 towards developing a framework that allows users to rapidly compose and customize high-throughput experimental analysis pipelines for multiple instrument types. The framework, named “Rapid Experimental Analysis” (REXAN) Framework [1 M. Thomas, 3D imaging of microbial biofilms: Integration of synchrotron imaging and an interactive visualization interface, Engineering in Medicine and Biology Society (EMBC), 2014 36th Annual International Conference of the IEEE, Chicago, IL, August 28 (2014). [Google Scholar]], is based on the idea of reusable component libraries and utilizes the PNNL-developed collaborative data management and analysis environment “Velo” to provide a user-friendly analysis and data management environment for experimental facilities. This article will discuss the capabilities established for X-ray tomography, review lessons learned, and provide an overview of our more recent work in the Analysis in Motion Initiative (AIM, http://aim.pnnl.gov/) at PNNL to provide REXAN capabilities in a streaming environment.     

Tunneling and Metastability of Continuous Time Markov Chains II, the Nonreversible Case

We proposed in Beltrán and Landim (J.?Stat. Phys. 140:1065?C1114, 2010) a new approach to prove the metastable behavior of reversible dynamics based on potential theory and local ergodicity. In this article we extend this theory to nonreversible dynamics based on the Dirichlet principle proved in Gaudillière and Landim (arXiv:1111.2445, 2011). We?also include in this article the proof of the metastability of a class of birth and death chains.     

Decoherent Histories of Spin Networks

The decoherent histories formalism, developed by Griffiths, Gell-Mann, and Hartle (in Phys. Rev. A 76:022104, 2007; arXiv:1106.0767v3 [quant-ph], 2011; Consistent Quantum Theory, Cambridge University Press, 2003; arXiv:gr-qc/9304006v2, 1992) is a general framework in which to formulate a timeless, ‘generalised’ quantum theory and extract predictions from it. Recent advances in spin foam models allow for loop gravity to be cast in this framework. In this paper, I propose a decoherence functional for loop gravity and interpret existing results (Bianchi et al. in Phys. Rev. D 83:104015, 2011; Phys. Rev. D 82:084035, 2010) as showing that coarse grained histories follow quasiclassical trajectories in the appropriate limit.     

The BSM-AI project: SUSY-AI–generalizing LHC limits on supersymmetry with machine learning

A key research question at the Large Hadron Collider is the test of models of new physics. Testing if a particular parameter set of such a model is excluded by LHC data is a challenge: it requires time consuming generation of scattering events, simulation of the detector response, event reconstruction, cross section calculations and analysis code to test against several hundred signal regions defined by the ATLAS and CMS experiments. In the BSM-AI project we approach this challenge with a new idea. A machine learning tool is devised to predict within a fraction of a millisecond if a model is excluded or not directly from the model parameters. A first example is SUSY-AI, trained on the phenomenological supersymmetric standard model (pMSSM). About 300, 000 pMSSM model sets – each tested against 200 signal regions by ATLAS – have been used to train and validate SUSY-AI. The code is currently able to reproduce the ATLAS exclusion regions in 19 dimensions with an accuracy of at least \(93\%\). It has been validated further within the constrained MSSM and the minimal natural supersymmetric model, again showing high accuracy. SUSY-AI and its future BSM derivatives will help to solve the problem of recasting LHC results for any model of new physics. SUSY-AI can be downloaded from http://susyai.hepforge.org/. An on-line interface to the program for quick testing purposes can be found at http://www.susy-ai.org/.     

The Absolutely Continuous Spectrum of One-dimensional Schrödinger Operators

This paper deals with general structural properties of one-dimensional Schrödinger operators with some absolutely continuous spectrum. The basic result says that the ω limit points of the potential under the shift map are reflectionless on the support of the absolutely continuous part of the spectral measure. This implies an Oracle Theorem for such potentials and Denisov-Rakhmanov type theorems. In the discrete case, for Jacobi operators, these issues were discussed in my recent paper (Remling, The absolutely continuous spectrum of Jacobi matrices, http://arxiv.org/abs/0706.1101, 2007). The treatment of the continuous case in the present paper depends on the same basic ideas.     

Quantum Axiomatics: Topological and Classical Properties of State Property Systems

The definition of ‘classical state’ from (Aerts in K. Engesser, D. Gabbay and D. Lehmann (Eds.), Handbook of Quantum Logic and Quantum Structures. Elsevier, Amsterdam, 2009), used e.g. in Aerts et al. (http://arxiv.org/abs/quant-ph/0503083, 2010) to prove a decomposition theorem internally in the language of State Property Systems, presupposes as an additional datum an orthocomplementation on the property lattice of a physical system. In this paper we argue on the basis of the (ε,d)-model on the Poincaré sphere that a notion of topologicity for states can be seen as an alternative (operationally foundable) classicality notion in the absence of an orthocomplementation, and compare it to the known and operationally founded concept of classicality.     

Fractional quiver W-algebras

We introduce quiver gauge theory associated with the non-simply laced type fractional quiver and define fractional quiver W-algebras by using construction of Kimura and Pestun (Lett Math Phys, 2018.  https://doi.org/10.1007/s11005-018-1072-1; Lett Math Phys, 2018.  https://doi.org/10.1007/s11005-018-1073-0) with representation of fractional quivers.     

$$\mathrm{SL}(2, \mathbb {C})$$ group action on cohomological field theories

We introduce the \(\mathrm {SL} (2,\mathbb {C})\) group action on a partition function of a cohomological field theory via a certain Givental’s action. Restricted to the small phase space we describe the action via the explicit formulae on a CohFT genus g potential. We prove that applied to the total ancestor potential of a simple-elliptic singularity the action introduced coincides with the transformation of Milanov–Ruan changing the primitive form (cf. Milanov and Ruan in Gromov–Witten theory of elliptic orbifold \(\mathbb {P}^{1}\) and quasi-modular forms, arXiv:1106.2321, 2011).     

Quantum Locality,Rings a Bell?: Bell’s Inequality Meets Local Reality and True Determinism

By assuming a deterministic evolution of quantum systems and taking realism into account, we carefully build a hidden variable theory for Quantum Mechanics (QM) based on the notion of ontological states proposed by ’t Hooft (The cellular automaton interpretation of quantum mechanics, arXiv:1405.1548v3, 2015; Springer Open 185,  https://doi.org/10.1007/978-3-319-41285-6, 2016). We view these ontological states as the ones embedded with realism and compare them to the (usual) quantum states that represent superpositions, viewing the latter as mere information of the system they describe. Such a deterministic model puts forward conditions for the applicability of Bell’s inequality: the usual inequality cannot be applied to the usual experiments. We build a Bell-like inequality that can be applied to the EPR scenario and show that this inequality is always satisfied by QM. In this way we show that QM can indeed have a local interpretation, and thus meet with the causal structure imposed by the Theory of Special Relativity in a satisfying way.