A simple approach to the correlation of rotovibrational states in four-atomic molecules

The problem of correlation between quantum states of four-atomic molecules in different geometrical configurations is reviewed in detail. A general, still simple rule is obtained which allows one to correlate states of a linear four-atomic molecule with those of any kind of non-linear four-atomic molecule.Comment: 16 pages (+8 figures), Postscript (ready to print!

A Comprehensive Survey of Brane Tilings

An infinite class of $4d$ $\mathcal{N}=1$ gauge theories can be engineered on the worldvolume of D3-branes probing toric Calabi-Yau 3-folds. This kind of setup has multiple applications, ranging from the gauge/gravity correspondence to local model building in string phenomenology. Brane tilings fully encode the gauge theories on the D3-branes and have substantially simplified their connection to the probed geometries. The purpose of this paper is to push the boundaries of computation and to produce as comprehensive a database of brane tilings as possible. We develop efficient implementations of brane tiling tools particularly suited for this search. We present the first complete classification of toric Calabi-Yau 3-folds with toric diagrams up to area 8 and the corresponding brane tilings. This classification is of interest to both physicists and mathematicians alike.Comment: 39 pages. Link to Mathematica modules provide

Search for Gravitational Waves Associated with Gamma-Ray Bursts during the First Advanced LIGO Observing Run and Implications for the Origin of GRB 150906B

We present the results of the search for gravitational waves (GWs) associated with γ-ray bursts detected during the first observing run of the Advanced Laser Interferometer Gravitational-Wave Observatory (LIGO). We find no evidence of a GW signal for any of the 41 γ-ray bursts for which LIGO data are available with sufficient duration. For all γ-ray bursts, we place lower bounds on the distance to the source using the optimistic assumption that GWs with an energy of were emitted within the – Hz band, and we find a median 90% confidence limit of 71 Mpc at 150 Hz. For the subset of 19 short/hard γ-ray bursts, we place lower bounds on distance with a median 90% confidence limit of 90 Mpc for binary neutron star (BNS) coalescences, and 150 and 139 Mpc for neutron star–black hole coalescences with spins aligned to the orbital angular momentum and in a generic configuration, respectively. These are the highest distance limits ever achieved by GW searches. We also discuss in detail the results of the search for GWs associated with GRB 150906B, an event that was localized by the InterPlanetary Network near the local galaxy NGC 3313, which is at a luminosity distance of Mpc (z = 0.0124). Assuming the γ-ray emission is beamed with a jet half-opening angle , we exclude a BNS and a neutron star–black hole in NGC 3313 as the progenitor of this event with confidence >99%. Further, we exclude such progenitors up to a distance of 102 Mpc and 170 Mpc, respectively.United States National Science Foundation (NSF)Science and Technology Facilities Council (STFC) of the United KingdomMax-Planck-Society (MPS)State of NiedersachsenAustralian Research CouncilItalian Istituto Nazionale di Fisica Nucleare (INFN)French Centre National de la Recherche Scientifique (CNRS)Netherlands Organisation for Scientific ResearchCouncil of Scientific and Industrial Research of IndiaScience & Engineering Research Board (SERB), IndiaMinistry of Human Resource Development, IndiaSpanish Ministerio de Economía y CompetitividadConselleria d’Economia i CompetitivitatConselleria d’Educació Cultura i Universitats of the Govern de les Illes BalearsNational Science Centre of PolandEuropean CommissionRoyal SocietyScottish Funding CouncilScottish Universities Physics AllianceHungarian Scientific Research Fund (OTKA)Lyon Institute of Origins (LIO)National Research Foundation of KoreaIndustry CanadaProvince of OntarioBrazilian Ministry of ScienceFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Russian Foundation for Basic ResearchLeverhulme TrustMinistry of Science and Technology (MOST)Kavli FoundationNASA/NNX15AU74GRFBR/15-02-00532-iRFBR/16-29-13009-ofi-

Analytical approximation of the stress-energy tensor of a quantized scalar field in static spherically symmetric spacetimes

Analytical approximations for ${}$ and ${}$ of a quantized scalar field in static spherically symmetric spacetimes are obtained. The field is assumed to be both massive and massless, with an arbitrary coupling $\xi$ to the scalar curvature, and in a zero temperature vacuum state. The expressions for ${}$ and ${}$ are divided into low- and high-frequency parts. The contributions of the high-frequency modes to these quantities are calculated for an arbitrary quantum state. As an example, the low-frequency contributions to ${}$ and ${}$ are calculated in asymptotically flat spacetimes in a quantum state corresponding to the Minkowski vacuum (Boulware quantum state). The limits of the applicability of these approximations are discussed.Comment: revtex4, 17 pages; v2: three references adde

A comment on multiple vacua, particle production and the time dependent AdS/CFT correspondence

We give an explicit formulation of the time dependent AdS/CFT correspondence when there are multiple vacua present in Lorentzian signature. By computing sample two point functions we show how different amplitudes are related by cosmological particle production. We illustrate our methods in two example spacetimes: (a) a ``bubble of nothing'' in AdS space, and (b) an asymptotically locally AdS spacetime with a bubble of nothing on the boundary. In both cases the alpha vacua of de Sitter space make an interesting appearance.Comment: 9 page

Sedimentation record in the Konkan-Kerala Basin: implications for the evolution of the Western Ghats and the Western Indian passive margin

The Konkan and Kerala Basins constitute a major depocentre for sediment from the onshore hinterland of Western India and as such provide a valuable record of the timing and magnitude of Cenozoic denudation along the continental margin. This paper presents an analysis of sedimentation in the Konkan-Kerala Basin, coupledwith a mass balance study, and numerical modelling of flexural responses to onshore denudational unloading and o¡shore sediment loading in order to test competing conceptual models for the development of high-elevation passive margins. The Konkan-Kerala Basin contains an estimated 109,000 km<sup>3</sup>; of Cenozoic clastic sediment, a volume difficult to reconcile with the denudation of a downwarped rift flank onshore, and more consistent with denudation of an elevated rift flank. We infer from modelling of the isostatic response of the lithosphere to sediment loading offshore and denudation onshore that flexure is an important component in the development of the Western Indian Margin.There is evidence for two major pulses in sedimentation: an early phase in the Palaeocene, and a second beginning in the Pliocene. The Palaeocene increase in sedimentation can be interpreted in terms of a denudational response to the rifting between India and the Seychelles, whereas the mechanism responsible for the Pliocene pulse is more enigmatic

Workplace Alignment: An evaluation of office worker flexibility and workplace provision

Purpose – The paper aims to explore the relationship between office occupier work activity and workplace provision. It tests the proposition that location-fixed office workers are not as well-supported in the working environment as location-flexible office workers. The research also explores the perceptions of the workplace provision based upon the types of tasks completed at the desk-location, whether this was collaborative or focused. Design/methodology/approach – The research adopts a cross-sectional approach using an online questionnaire to collect data from several offices in the Middles East. The dataset consists of 405 responses. One-way ANOVA was conducted to understand the relationship between location flexibility and perception of productivity. In addition, a series of T-Test were used to evaluate the relationship between work activities and office environment. Findings – The results show that those workers who were location-fixed perceived the workplace provision to have a more negative impact on their productivity than those who had a greater level of location-flexibility, particularly with regards to noise levels and interruptions. In terms of types of activities, those that undertook more collaborative tasks valued the facilitation of creativity and interaction from the workplace provision. Research limitations/implications – The research has limitations as data collection was at one-point in time and therefore lacks the opportunity to undertake longitudinal analysis. However, the research gives greater insights into the alignment of office environments based on flexibility and work activity. Practical implications – The paper identifies implications for the design and development of office environments by identifying the need for office occupier activity profiles. These profiles can underpin data led design which should promote a tailored choice appropriate work setting that can maximise productivity. Originality/value – This paper contributes to the research area of workplace alignment. It establishes that optimal workplace alignment requires a better understanding of office occupier needs based on location-flexibility and work activity

Detecting relic gravitational waves in the CMB: A statistical bias

Analyzing the imprint of relic gravitational waves (RGWs) on the cosmic microwave background (CMB) power spectra provides a way to determine the signal of RGWs. In this Letter, we discuss a statistical bias, which could exist in the data analysis and has the tendency to overlook the RGWs. We also explain why this bias exists, and how to avoid it.Comment: 4 pages, 1 figur