Modular Invariant of Quantum Tori II: The Golden Mean

In our first article in this series ("Modular Invariant of Quantum Tori I: Definitions Nonstandard and Standard" arXiv:0909.0143) a modular invariant of quantum tori was defined. In this paper, we consider the case of the quantum torus associated to the golden mean. We show that the modular invariant is approximately 9538.249655644 by producing an explicit formula for it involving weighted versions of the Rogers-Ramanujan functions

Measures of fine tuning

Fine-tuning criteria are frequently used to place upper limits on the masses of superpartners in supersymmetric extensions of the standard model. However, commonly used prescriptions for quantifying naturalness have some important shortcomings. Motivated by this, we propose new criteria for quantifying fine tuning that can be used to place upper limits on superpartner masses with greater fidelity. In addition, our analysis attempts to make explicit the assumptions implicit in quantifications of naturalness. We apply our criteria to the minimal supersymmetric extension of the standard model, and we find that the scale of supersymmetry breaking can be larger than previous methods indicate.Comment: 15 pages, LaTex, 5 figures uuencoded, gz-compressed file. Minor revisions bring the archived manuscript into agreement with published versio

The impact of environmental performance on stock prices in the green and innovative context

.This study examines the impact of environmental performance on firms' stock prices, considering the moderating effect of the green and innovative environmental context by country. Renewable energy policies, green technologies, and foreign trade form this environmental context of interest for the reduction of carbon emissions. Using a sample of 2638 firm-year observations for the firms listed in the main stock index of 16 European countries over the period of 2005–2017, we find that environmental performance is value-relevant, except during the worst years of a crisis, when it is not significant. Two elements of the green technological framework, namely, renewable energy policies and the potential transmission effect of technology through foreign trade, are valued by investors as offsetting factors of the positive effect exerted by carbon performance on the firm's value. This is consistent with the slow and costly adoption of greener technologies. However, registered green patents appear to be a turning point, showing a significant positive effect on the relationship between firms' environmental performances and their market values. Again, the crisis period interferes with deepening the negative effect of renewable energy policies and cancelling out the effect of green patents and foreign trade. On one hand, our results highlight the market's role in making inefficiencies visible and showing the potential future losses of green and innovative policies; on the other hand, the hampering interference of crisis periods must be considered by policymakers.S

SYZ mirror symmetry for hypertoric varieties

We construct a Lagrangian torus fibration on a smooth hypertoric variety and a corresponding SYZ mirror variety using $T$-duality and generating functions of open Gromov-Witten invariants. The variety is singular in general. We construct a resolution using the wall and chamber structure of the SYZ base.Comment: v_2: 31 pages, 5 figures, minor revision. To appear in Communications in Mathematical Physic

Gas infall towards Sgr A* from the clumpy circumnuclear disk

We present the first large-scale mosaic performed with the Submillimeter Array (SMA) in the Galactic center. We have produced a 25-pointing mosaic, covering a ~2' x 2' area around Sgr A*. We have detected emission from two high-density molecular tracers, HCN(4-3) and CS(7-6), the latter never before reported in this region. The data have an angular resolution of 4.6" x 3.1", and the spectral window coverage is from -180 km/s to 1490 km/s for HCN(4-3) and from -1605 km/s to 129 km/s for CS(7-6). Both molecular tracers present a very clumpy distribution along the circumnuclear disk (CND), and are detected with a high signal-to-noise ratio in the southern part of the CND, while they are weaker towards the northern part. Assuming that the clumps are as close to the Galactic center as their projected distances, they are still dense enough to be gravitationally stable against the tidal shear produced by the supermassive black hole. Therefore, the CND is a non-transient structure. This geometrical distribution of both tracers suggests that the southern part of the CND is denser than the northern part. Also, by comparing the HCN(4-3) results with HCN(1-0) results we can see that the northern and the southern parts of the CND have different excitation levels, with the southern part warmer than the northern. Finally, we compare our results with those obtained with the detection of NH3, which traces the warmer and less dense material detected in the inner cavity of the CND. We suggest that we are detecting the origin point where a portion of the CND becomes destabilized and approaches the dynamical center of the Milky Way, possibly being impacted by the southern streamer and heated on its way inwards.Comment: 35 pages, 25 figures, 2 tables, accepted for publication in ApJ, emulate-apj styl

Vision and Tactile Robotic System to Grasp Litter in Outdoor Environments

The accumulation of litter is increasing in many places and is consequently becoming a problem that must be dealt with. In this paper, we present a manipulator robotic system to collect litter in outdoor environments. This system has three functionalities. Firstly, it uses colour images to detect and recognise litter comprising different materials. Secondly, depth data are combined with pixels of waste objects to compute a 3D location and segment three-dimensional point clouds of the litter items in the scene. The grasp in 3 Degrees of Freedom (DoFs) is then estimated for a robot arm with a gripper for the segmented cloud of each instance of waste. Finally, two tactile-based algorithms are implemented and then employed in order to provide the gripper with a sense of touch. This work uses two low-cost visual-based tactile sensors at the fingertips. One of them addresses the detection of contact (which is obtained from tactile images) between the gripper and solid waste, while another has been designed to detect slippage in order to prevent the objects grasped from falling. Our proposal was successfully tested by carrying out extensive experimentation with different objects varying in size, texture, geometry and materials in different outdoor environments (a tiled pavement, a surface of stone/soil, and grass). Our system achieved an average score of 94% for the detection and Collection Success Rate (CSR) as regards its overall performance, and of 80% for the collection of items of litter at the first attempt.Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. Research work was funded by the Valencian Regional Government and FEDER through the PROMETEO/2021/075 project. The computer facilities were provided through the IDIFEFER/2020/003 project

Astrocytic p38α MAPK drives NMDA receptor-dependent long-term depression and modulates long-term memory.

NMDA receptor-dependent long-term depression (LTD) in the hippocampus is a well-known form of synaptic plasticity that has been linked to different cognitive functions. The core mechanism for this form of plasticity is thought to be entirely neuronal. However, we now demonstrate that astrocytic activity drives LTD at CA3-CA1 synapses. We have found that LTD induction enhances astrocyte-to-neuron communication mediated by glutamate, and that Ca2+ signaling and SNARE-dependent vesicular release from the astrocyte are required for LTD expression. In addition, using optogenetic techniques, we show that low-frequency astrocytic activation, in the absence of presynaptic activity, is sufficient to induce postsynaptic AMPA receptor removal and LTD expression. Using cell-type-specific gene deletion, we show that astrocytic p38α MAPK is required for the increased astrocytic glutamate release and astrocyte-to-neuron communication during low-frequency stimulation. Accordingly, removal of astrocytic (but not neuronal) p38α abolishes LTD expression. Finally, this mechanism modulates long-term memory in vivo.post-print5316 K

Variables y Modelos Para La Identificación y Predicción Del Fracaso Empresarial: Revisión de La Investigación Empírica Reciente: Variables and Models for the Identification and Prediction of Business Failure: Revision of Recent Empirical Research Advances

This work analyzes the evolution of business failure literature. In it, we consider previous critical revisions, contributing with the analysis of additional empirical evidence, paying special attention to the last decade. In order to make up for some deficiencies detected in previous revisions, we deal with three aspects that can be considered the main contribution of this work. First, we analyze the business failure concept during the last decades, detecting, from identification to prediction, certain evolution. Second, we analyze the variables used in the different models, adding –to the traditional frequency analysis of the individual variables– a study of the business features proxied by the variables, obtaining rankings more in line with the classical theoretical approaches and developments on business failure. Finally, we illustrate the salient strengths and weaknesses of the recently, and scarcely analyzed methodologies, such as artificial intelligence techniques and data envelopment analyses (DEA). In addition, we incorporate a large group of empirical works on this matter published in Spain, missing in the previous revision works examined.Este trabajo analiza la evolución en el tiempo de los estudios sobre fracaso empresarial. Con carácter general, partimos de la revisión crítica realizada en la literatura previa, y aportamos un análisis de la evidencia empírica adicional, con especial atención a la obtenida durante la última década. Pero además, para subsanar algunas deficiencias detectadas en las revisiones anteriores, nos ocupamos de tres aspectos, que pueden considerarse la principal contribución de este trabajo: primero, analizamos la evolución en las últimas décadas del concepto de fracaso empresarial o fallido, detectando cierta evolución desde la identificación hacia la predicción; segundo, analizamos las variables empleadas en los modelos, aportando un estudio de los rasgos empresariales que se representan con las variables (frente al tradicional análisis de frecuencia de las propias variables individuales), siendo los resultados más acordes con los planteamientos y desarrollos teóricos clásicos sobre el fracaso empresarial; y, finalmente, destacamos los puntos fuertes y débiles de las metodologías que, por su reciente aparición, no habían sido analizadas o muy poco por revisiones anteriores: las técnicas de inteligencia artificial y el análisis envolvente de datos (DEA). Adicionalmente, integramos en la revisión el numeroso grupo de trabajos empíricos publicados en España sobre la cuestión, y que no aparecían en ninguna de las revisiones previas analizadas

Site Energies of Active and Inactive Pheophytins in the Reaction Center of Photosystem II from Chlamydomonas Reinhardtii

31 Pags. The definitive version is available at: http://pubs.acs.org/journal/jpcbfkIt is widely accepted that the primary electron acceptor in various Photosystem II (PSII) reaction centers (RCs) is pheophytin a (Pheo a) within the D1 protein (PheoD1), while PheoD2 (within the D2 protein) is photochemically inactive. The Pheo site energies, however, have remained elusive, due to inherent spectral congestion. While most researchers over the last two decades assigned the Qy-states of PheoD1 and PheoD2 bands near 678–684 nm and 668–672 nm, respectively, recent modeling [Raszewski et al. Biophys. J. 2005, 88, 986–998; Cox et al. J. Phys. Chem. B 2009, 113, 12364–12374] of the electronic structure of the PSII RC reversed the location of the active and inactive Pheos, suggesting that the mean site energy of PheoD1 is near 672 nm, whereas PheoD2 (~677.5 nm) and ChlD1 (~680 nm) have the lowest energies (i.e., the PheoD2-dominated exciton is the lowest excited state). In contrast, chemical pigment exchange experiments on isolated RCs suggested that both pheophytins have their Qy absorption maxima at 676–680 nm [Germano et al. Biochem. 2001, 40, 11472–11482; Germano et al. Biophys. J. 2004, 86, 1664–1672]. To provide more insight into the site energies of both PheoD1 and PheoD2 (including the corresponding Qx transitions, which are often claimed to be degenerate at 543 nm) and to attest that the above two assignments are most likely incorrect, we studied a large number of isolated RC preparations from spinach and wild-type Chlamydomonas reinhardtii (at different levels of intactness) as well as the Chlamydomonas reinhardtii mutant (D2-L209H), in which the active branch PheoD1 is genetically replaced with chlorophyll a (Chl a). We show that the Qx-/Qy-region site-energies of PheoD1 and PheoD2 are ~545/680 nm and ~541.5/670 nm, respectively, in good agreement with our previous assignment [Jankowiak et al. J. Phys. Chem. B 2002, 106, 8803–8814]. The latter values should be used to model excitonic structure and excitation energy transfer dynamics of the PSII RCs.Partial support to B.N. (involved in calculations) was provided by the NSF EPSCoR Grant. V.Z. (involved in writing the manuscript) acknowledges support by NSERC. R.T.S., R.P., and M.S. were involved in the design and preparation of D2-mutant and RCs. They acknowledge support from USDOE, Photosynthetic Antennae Research Center (R.T.S.), MICIN (Grant AGL2008-00377) in Spain (R.P.), and the U.S. Department of Energy’s Photosynthetic Systems Program within the Chemical Sciences, Geosciences, and Biosciences Division of the Office of Basic Energy Sciences under NREL Contract #DE-AC36-08-GO28308 (M.S.).Peer reviewe