Self-Dual Yang-Mills and Vector-Spinor Fields, Nilpotent Fermionic Symmetry, and Supersymmetric Integrable Systems

We present a system of a self-dual Yang-Mills field and a self-dual vector-spinor field with nilpotent fermionic symmetry (but not supersymmetry) in 2+2 dimensions, that generates supersymmetric integrable systems in lower dimensions. Our field content is (A_\mu{}^I, \psi_\mu{}^I, \chi^{I J}), where I and J are the adjoint indices of arbitrary gauge group. The \chi^{I J} is a Stueckelberg field for consistency. The system has local nilpotent fermionic symmetry with the algebra \{N_\alpha{}^I, N_\beta{}^J \} = 0. This system generates supersymmetric Kadomtsev-Petviashvili equations in D=2+1, and supersymmetric Korteweg-de Vries equations in D=1+1 after appropriate dimensional reductions. We also show that a similar self-dual system in seven dimensions generates self-dual system in four dimensions. Based on our results we conjecture that lower-dimensional supersymmetric integral models can be generated by non-supersymmetric self-dual systems in higher dimensions only with nilpotent fermionic symmetries.Comment: 15 pages, no figure

Quantum Information and Entropy

Thermodynamic entropy is not an entirely satisfactory measure of information of a quantum state. This entropy for an unknown pure state is zero, although repeated measurements on copies of such a pure state do communicate information. In view of this, we propose a new measure for the informational entropy of a quantum state that includes information in the pure states and the thermodynamic entropy. The origin of information is explained in terms of an interplay between unitary and non-unitary evolution. Such complementarity is also at the basis of the so-called interaction-free measurement.Comment: 21 pages, 3 figure

In Vitro Antimicrobial Activity of Stevia Rebaudiana Bertoni Leaves

Purpose: The aim of the present study was to investigate antimicrobial activity of the various extracts of Stevia rebaudiana leaves. Method: Stevia rebaudiana Bertoni leaves were extracted in water, methanol, ethyl acetate and hexane and their antimicrobial activities were examined against few selected microorganisms including B. subtilis, S. aureus, M. luteus, S. marcenscens, P. aeruginosa, B. megaterium, E. coli, P. vulgaris, Yeast, A. niger and R. oligoporus using cup plate method. Results: Water extract of Stevia leaf showed activity against B. subtilis and S. aureus only. Methanol extract gave the highest zone of inhibition against P. aeruginosa whereas minimum zone of inhibition was found against S. aureus and yeast. B. megaterium and yeast were found to be highly susceptible towards ethyl acetate and hexane extracts, respectively whereas A. niger and B. subtilis were found to be least susceptible against ethyl acetate and hexane extracts, respectively. Hexane extract showed the highest activity against yeast among the tested microorganisms. Conclusion: The study confirms the possible antimicrobial potentiality of the leaf extract of Stevia rebaudiana. Keywords: Stevia rebaudiana, antimicrobial activity, leaf extracts > Tropical Journal of Pharmaceutical Research Vol. 5 (1) 2006: pp. 557-56

Fordist Applied Research in the Era of the Five-Dollar Day

This article provides a description of the early attempts at applied social research and research driven policies and procedures used in the assessment of the employees and the consequent rewards and punishments meted out by the Ford Motor Company during the late Progressive Era. An additional aim of this paper is to show the relevance and signijkance of these attempts and to examine the extent to which early Ford research can inform our applied research today. In particular, this study examines the early data collection efforts by investigators of the Ford Motor Company Sociological Department. These took place in the early part of 1914 and aimed at gathering information concerning workers’ habits, family situations, financial states, home conditions, and social and economic behavior. These investigations were thorough and exhaustive. The outcome of Ford’s research resulted in the classijication of all company workers into four main categories used to decide who would or would not qualifl, for the Ford profit sharing plan. An equally important part of the mission of Ford’s investigators was to guide the workers to mod& their behavior to secure the profit sharingportion of the salary. This was an example of the paternal capitalistic ideology that characterized Ford Motor Company labor relations during this period. We conclude that the company emerges as one of the pioneers in the collection and utilization of applied research data, for the benefit of the company and betterment of the workers

Aleph_null Hypergravity in Three-Dimensions

We construct hypergravity theory in three-dimensions with the gravitino \psi_{\mu m_1... m_n}{}^A with an arbitrary half-integral spin n+3/2, carrying also the index A for certain real representations of any gauge group G. The possible real representations are restricted by the condition that the matrix representation of all the generators are antisymmetric: (T^I)^{A B} = - (T^I)^{B A}. Since such a real representation can be arbitrarily large, this implies \aleph_0-hypergravity with infinitely many (\aleph_0) extended local hypersymmetries.Comment: 12 pages, no figure