Higher-dimensional models in gravitational theories of quarticLagrangians

Ten-dimensional models, arising from a gravitational action which includes terms up to the fourth order in curvature tensor, are discussed. The spacetime consists of one timelike dimension and two maximally symmetric subspaces, filled with matter in the form of an anisotropic fluid. Numerical integration of the cosmological field equations indicates that exponential, as well as power law, solutions are possible. We carry out a dynamical study of the results in the H_{ext} - H_{int} plane and confirm the existence of "attractors" in the evolution of the Universe. Those attracting points correspond to "extended De Sitter" spacetimes, in which the external space exhibits inflationary expansion, while the internal one contracts.Comment: LaTeXfile, 22 page

Multi-jet Production in Hadron Collisions

The advent of high-energy hadron colliders necessitates efficient and accurate computation of multi-jet production processes, both as QCD processes in their own right and as backgrounds for other physics. The algorithm that performs these tasks and a brief numerical study of multi-jet processes are presented.Comment: 21 pages, 9 figure

(1,0) superconformal theories in six dimensions and Killing spinor equations

We solve the Killing spinor equations of 6-dimensional (1,0) superconformal theories in all cases. In particular, we derive the conditions on the fields imposed by the Killing spinor equations and demonstrate that these depend on the isotropy group of the Killing spinors. We focus on the models proposed by Samtleben et al in \cite{ssw} and find that there are solutions preserving 1,2, 4 and 8 supersymmetries. We also explore the solutions which preserve 4 supersymmetries and find that many models admit string and 3-brane solitons as expected from the M-brane intersection rules. The string solitons are smooth regulated by the moduli of instanton configurations.Comment: 26 page

Customer oriented and proactive selling in small Finnish companies

Abstract. Solving the customer’s “pain” is a well-known mantra in business, as is taking the initiative. Customer orientation describes the former in terms of understanding the customer’s needs and striving to satisfy them. The latter is many times associated with being proactive when acting. Both these traits have been associated with higher performance and other positive effects in sales. Small businesses often face difficulties competing against larger firms due to lack of resources and knowledge when navigating their environments. Customer orientation and proactiveness in their approach to sales could help them partly overcome these difficulties by providing a way to increase sales performance. This study seeks to uncover whether customer orientation and proactiveness are more prevalent in certain types of small businesses and to add to the understanding of small business sales. The study examines customer orientation and proactiveness literature along with literature about the divisions in the marketing and sales of B2B versus B2C and products versus services. The construct of customer orientation includes customer service orientation, solution orientation and an emphasis on analysing customer behaviour. The proactiveness categories are whether the firm acquires new sales via its action, the customers action, or the action of both. The aim is to understand whether higher levels of the two traits are associated with a certain type of customers or offerings and to shed light on their coexistence and their effect on sales performance. The study utilizes a questionnaire distributed to various small companies in the Oulu region of Finland, to assess their sales capabilities. Answers to questions pertaining to the above traits were selected and statistically analysed to identify inferences in the data about the previous associations. Altogether, the analysis looked at 242 respondents from 32 companies, from various industries. The study is part of the “Sales is a King” project, which is being conducted by the University of Oulu and the MicroENTRE research body. The data analysis showed interesting results. It suggests that the existence of higher customer orientation levels is not related to a more proactive sales approach and vice versa. Also, the two behaviours do not vary between customer and offering types and only proactiveness is associated with higher sales performance. Although, using the customer orientation construct yielded the above results, further analysis on the customer service orientation and solution orientation items showed otherwise. The former was higher in B2B firms than those that sell to both customer types and in product selling firms as opposed to those that sell both offering types. For the latter, companies that sold products exhibited higher solution orientation levels than those that sold both offerings. The study contributes to researchers and practitioners alike, by enhancing the understanding of customer oriented and proactive selling in small businesses

Isotropic inverse-problem approach for two-dimensional phase unwrapping

In this paper, we propose a new technique for two-dimensional phase unwrapping. The unwrapped phase is found as the solution of an inverse problem that consists in the minimization of an energy functional. The latter includes a weighted data-fidelity term that favors sparsity in the error between the true and wrapped phase differences, as well as a regularizer based on higher-order total-variation. One desirable feature of our method is its rotation invariance, which allows it to unwrap a much larger class of images compared to the state of the art. We demonstrate the effectiveness of our method through several experiments on simulated and real data obtained through the tomographic phase microscope. The proposed method can enhance the applicability and outreach of techniques that rely on quantitative phase evaluation

Extended dust emission and atomic hydrogen, a reservoir of diffuse H_2 in NGC 1068

We report on sensitive sub-mm imaging observations of the prototype Seyfert~2/starburst galaxy NGC 1068 at 850 $\mu$m and 450 $\mu$m using the Submillimetre Common-User Bolometer Array (SCUBA) on the James Clerk Maxwell Telescope (JCMT). We find clear evidence of dust emission associated with the extended HI component which together with the very faint $^{12}$CO J=1--0 emission give a gas-to-dust ratio of $\rm M_{\rm gas}/M_{\rm dust} \sim 70-150$. This contrasts with the larger ratio $\rm M_{\rm gas}/M_{\rm dust}\sim 330$ estimated within a galactocentric radius of $r\leq 1.36$ kpc, where the gas is mostly molecular and starburst activity occurs. The large gas-to-dust ratio found for the starburst region is attributed to a systematic overestimate of the molecular gas mass in starburst environments when the luminosity of the $^{12}$CO J=1--0 line and a standard galactic conversion factor is used. On the other hand sub-mm imaging proves to be a more powerful tool than conventional CO imaging for revealing the properties of the diffuse $\rm H_2$ that coexists with HI. This molecular gas phase is characterized by low densities ($\rm n(H_2)<10^3$ cm$^{-3}$), very faint emission from sub-thermally excited CO, and contains more mass than HI, namely $\rm M(H_2)/M(HI)\sim 5$.Comment: Accepted for publication in the Astrophysical Journal Letter

Dynamics of Scalar Fields in the Background of Rotating Black Holes

A numerical study of the evolution of a massless scalar field in the background of rotating black holes is presented. First, solutions to the wave equation are obtained for slowly rotating black holes. In this approximation, the background geometry is treated as a perturbed Schwarzschild spacetime with the angular momentum per unit mass playing the role of a perturbative parameter. To first order in the angular momentum of the black hole, the scalar wave equation yields two coupled one-dimensional evolution equations for a function representing the scalar field in the Schwarzschild background and a second field that accounts for the rotation. Solutions to the wave equation are also obtained for rapidly rotating black holes. In this case, the wave equation does not admit complete separation of variables and yields a two-dimensional evolution equation. The study shows that, for rotating black holes, the late time dynamics of a massless scalar field exhibit the same power-law behavior as in the case of a Schwarzschild background independently of the angular momentum of the black hole.Comment: 14 pages, RevTex, 6 Figure

Strings in Kerr-Newmann Black Holes

We study the evolution of strings in the equatorial plane of a Kerr-Newmann black hole. Writting the equations of motion and the constraints resulting from Hamilton's principle, three classes of exact solutions are presented, for a closed string, encircling the black hole. They all depend on two arbitrary integration functions and two constants. A process of extracting energy is examined for the case of one of the three families of solutions. This is the analog of the Penrose process for the case of a particle.Comment: 14 pages, no figures, LaTeX. To appear in Gen. Rel. Gra

Penrose Limits and Spacetime Singularities

We give a covariant characterisation of the Penrose plane wave limit: the plane wave profile matrix $A(u)$ is the restriction of the null geodesic deviation matrix (curvature tensor) of the original spacetime metric to the null geodesic, evaluated in a comoving frame. We also consider the Penrose limits of spacetime singularities and show that for a large class of black hole, cosmological and null singularities (of Szekeres-Iyer ``power-law type''), including those of the FRW and Schwarzschild metrics, the result is a singular homogeneous plane wave with profile $A(u)\sim u^{-2}$, the scale invariance of the latter reflecting the power-law behaviour of the singularities.Comment: 9 pages, LaTeX2e; v2: additional references and cosmetic correction

Zero-dimensional field theory

A study of zero-dimensional theories, based on exact results, is presented. First, relying on a simple diagrammatic representation of the theory, equations involving the generating function of all connected Green's functions are constructed. Second, exact solutions of these equations are obtained for several theories. Finally, renormalization is carried out. Based on the anticipated knowledge of the exact solutionsthe full dependence on the renormalized coupling constant is studied.Comment: 38 pages, LaTe