Fractional quantum Hall effect on the two-sphere: a matrix model proposal

We present a Chern-Simons matrix model describing the fractional quantum Hall effect on the two-sphere. We demonstrate the equivalence of our proposal to particular restrictions of the Calogero-Sutherland model, reproduce the quantum states and filling fraction and show the compatibility of our result with the Haldane spherical wavefunctions.Comment: 26 pages, LaTeX, no figures, references adde

Noncommutative Geometry and Gauge Theory on Fuzzy Sphere

The differential algebra on the fuzzy sphere is constructed by applying Connes' scheme. The U(1) gauge theory on the fuzzy sphere based on this differential algebra is defined. The local U(1) gauge transformation on the fuzzy sphere is identified with the left $U(N+1)$ transformation of the field, where a field is a bimodule over the quantized algebra \CA_N. The interaction with a complex scalar field is also given.Comment: LaTeX 26 pages, final version (Dec.1999) accepted in CMP. An extra term in the gauge action is discusse

Differential Calculus on Fuzzy Sphere and Scalar Field

We find that there is an alternative possibility to define the chirality operator on the fuzzy sphere, due to the ambiguity of the operator ordering. Adopting this new chirality operator and the corresponding Dirac operator, we define Connes' spectral triple on the fuzzy sphere and the differential calculus. The differential calculus based on this new spectral triple is simplified considerably. Using this formulation the action of the scalar field is derived.Comment: LaTeX 12 page

Event-Study Evidence of the Value of Relaxing Longstanding Regulatory Restraints on Banks, 1970-2000

In a partial-equilibrium model, removing a binding constraint creates value. However, in general equilibrium, the stakes of other parties in maintaining the constraint must be examined. In financial deregulation, the fear is that expanding the scope and geographic reach of very large institutions might unblock opportunities to build market power from informational advantages and size-related safety-net subsidies. This paper reviews and extends event-study evidence about the distribution of the benefits and costs of relaxing longstanding geographic and product-line restrictions on U.S. financial institutions. The evidence indicates that the new financial freedoms may have redistributed rather than created value. Event returns are positive for some sectors of the financial industry and negative for others. Perhaps surprisingly, where customer event returns have been investigated, they prove negative.

Monopole Bundles over Fuzzy Complex Projective Spaces

We give a construction of the monopole bundles over fuzzy complex projective spaces as projective modules. The corresponding Chern classes are calculated. They reduce to the monopole charges in the N -> infinity limit, where N labels the representation of the fuzzy algebra.Comment: 30 pages, LaTeX, published version; extended discussion on asymptotic Chern number

Data and Assessment Management in Collegiate Recreation

Collegiate recreation programs and centers typically provide traditional programming space in addition to a range of physical activity spaces and resources, as a valuable part of the student experience. The external pressures of identifying and communicating departmental value and impact on the campus community has resulted in collegiate recreation departments’ use of data to communicate the effectiveness and impact of their work. The purpose of the study was to identify the data collection and assessment management practices of collegiate recreation departments, particularly focusing on the organization of data and assessment strategies as well as data collection, storage, reporting, analyzing, and data use in decision-making. The significance of the study was to assist the leaders of recreation departments in understanding how others navigate data and assessment management and how data were utilized in decision-making. Data for the study were collected using quantitative measures through a researcher-created, web-based survey, sent via email to director-level individuals at 50 research oriented, 1862 Morrill Land Grant Act institutions with membership to the Association of Public Land Grant Universities (APLU). Data were analyzed through measures of central tendency, frequencies, percentages, and one-way ANOVA. The data indicated that many collegiate recreation departments have a formal process for data and assessment management. The data also indicated that data are used to complete departmental reports, demonstrate student success, demonstrate student development, and to provide evidence of the department’s overall contribution to institutional mission and goals. Additionally, the data showed that there were significant differences in how departments utilized data to make decisions for demonstrating student success, informing decision-making and planning for continuous improvement, and completing departmental reports between ways that departments organized their data and assessment management strategies. The results of the study show the need for recreation departments to evaluate their current organization of data and assessment management strategies and advocate for a strategy that might help provide support for demonstrating the value and impact of their work on campus

Understanding and Mitigating the Negative Impacts of Product Recalls in the Global Supply Chain

Product recalls can be detrimental to any company; the event can be costly and often causes a loss of company reputation, customer trust and loyalty, and sometimes a loss of customer lives. With the number of product recalls on the rise, the issue has become of utmost importance, and although government agencies are set in place to protect the customers, there is no such agency to act in the best interest of the company experiencing the recall (Sowinski, 2012). Therefore, understanding best practices for the prevention of, reaction to, and recovery from product recalls can be extremely beneficial to a business. Through extensive research, case studies, surveys, and company interviews, this paper defines best practices to protect businesses throughout product recalls. The paper first outlines the phases a company should progress through during a recall in a Product Recall Model. This paper also outlines recall best practices in a user-friendly Product Recall Strategy Development Checklist, complete with a scoring guide which enables company self-audits. The scoring guide categorizes the user into one of five stages in a corresponding Product Recall Performance Model. The model indicates to what degree the company is protecting itself against recalls and how prepared it would be if a recall were to occur. Recommendations are be given as to how to progress upward through the stages to achieve best practices, and therefore the highest protection from the consequences of a product recall

On the Quantum Lorentz Group

The quantum analogues of Pauli matrices are introduced and investigated. From these matrices and an appropriate trace over spinorial indiceswe construct a quantum Minkowsky metric. In this framework, we show explicitely the correspondance between the SL(2,C) and Lorentz quantum groups.Comment: 17 page

Boundary state analysis on the equivalence of T-duality and Nahm transformation in superstring theory

We investigated the equivalence of the T-duality for a bound state of D2 and D0-branes with the Nahm transformation of the corresponding gauge theory on a 2-dimensional torus, using the boundary state analysis in superstring theory. In contrast to the case of a 4-dimensional torus, it changes a sign in a topological charge, which seems puzzling when regarded as a D-brane charge. Nevertheless, it is shown that it agrees with the T-duality of the boundary state, including a minus sign. We reformulated boundary states in the RR-sector using a new representation of zeromodes, and show that the RR-coupling is invariant under the T-duality. Finally, the T-duality invariance at the level of the Chern-Simon coupling is shown by deriving the Buscher rule for the RR-potentials, known as the 'Hori formula', including the correct sign.Comment: 31 pages. v2: references added, typos correcte