Local Fractional Supersymmetry for Alternative Statistics

A group theory justification of one dimensional fractional supersymmetry is proposed using an analogue of a coset space, just like the one introduced in $1D$ supersymmetry. This theory is then gauged to obtain a local fractional supersymmetry {\it i.e.} a fractional supergravity which is then quantized {\it \`a la Dirac} to obtain an equation of motion for a particle which is in a representation of the braid group and should describe alternative statistics. A formulation invariant under general reparametrization is given, by means of a curved fractional superline.Comment: 15 pages, latex, no figur

Fractional Supersymmetry and Fth-Roots of Representations

A generalization of super-Lie algebras is presented. It is then shown that all known examples of fractional supersymmetry can be understood in this formulation. However, the incorporation of three dimensional fractional supersymmetry in this framework needs some care. The proposed solutions lead naturally to a formulation of a fractional supersymmetry starting from any representation D of any Lie algebra g. This involves taking the Fth-roots of D in an appropriate sense. A fractional supersymmetry in any space-time dimension is then possible. This formalism finally leads to an infinite dimensional extension of g, reducing to the centerless Virasoro algebra when g=sl(2,R).Comment: 23 pages, 1 figure, LaTex file with epsf.st

Ternary algebras and groups

We construct explicitly groups associated to specific ternary algebras which extend the Lie (super)algebras (called Lie algebras of order three). It turns out that the natural variables which appear in this construction are variables which generate the three-exterior algebra. An explicit matrix representation of a group associated to a peculiar Lie algebra of order three is constructed considering matrices with entry which belong to the three exterior algebra.Comment: 11 pages contribution to the 5th International Symposium on Quantum Theory and Symmetries (QTS5

Unexpected Features of Supersymmetry with Central Charges

It is shown that N=2 supersymmetric theories with central charges present some hidden quartic symmetry. This enables us to construct representations of the quartic structure induced by superalgebra representations.Comment: 14 pages, more details have been given, to appear in J. Phys.

FGD By-Products as an Agronomic Lime Substitute: A Case Study

The following analysis is based upon the potential use of dry FGO byproduct as an agricultural lime substitute. In order to make this case study comparison, representative farms are developed in two regions of Ohio, and depict average agricultural liming practices for these regions. These geographic regions, northwest and northeast quadrants of the state, are expected to be representative of all farms in the specified region. Thus, represent the average farm operation in that region. These two geographic regions account for 60 percent of the agricultural lime usage in Ohio: 34 percent of Ohio agricultural lime is used in the northwestern region, and 26 percent in the northeastern region. These regions also represent extremes in market conditions for agricultural lime and the FGO by-product: in contrast to the northeast region, the northwest region tends to have higher soil pH, lower agricultural lime application rates, closer distances to limestone quarries, and farther distances to potential FGD sources. Given these characteristics, the northwest region would appear to present weaker market opportunities for the dry FGD by-product than would the northeastern region. This preliminary comparison of representative farms points to potential problems in marketing dry FGD by-products in agricultural markets. First, the potential market for dry FGD by-products in agriculture is limited since it is to serve as a substitute for agricultural lime. While agricultural lime is used widely, demand for the product is unlikely to grow dramatically in the future. Second, both agricultural lime and dry FGD by-product are bulky materials, and transportation is the most significant component of the total cost. Since total neutralizing power (TNP) of the dry FGO by-product is less than that of agricultural lime, use of the dry FGD by-product requires relatively more bulk or quantity to be hauled and spread. Third, dry FGD byproduct's use on agricultural land may be feasible on cropland near its source (electric power plants); however, it may not be economically competitive with agricultural lime on cropland more distant from potential source(s) this byproduct

Calculation of AGARD Wing 445.6 Flutter Using Navier-Stokes Aerodynamics

An unsteady, 3D, implicit upwind Euler/Navier-Stokes algorithm is here used to compute the flutter characteristics of Wing 445.6, the AGARD standard aeroelastic configuration for dynamic response, with a view to the discrepancy between Euler characteristics and experimental data. Attention is given to effects of fluid viscosity, structural damping, and number of structural model nodes. The flutter characteristics of the wing are determined using these unsteady generalized aerodynamic forces in a traditional V-g analysis. The V-g analysis indicates that fluid viscosity has a significant effect on the supersonic flutter boundary for this wing

FRAPCON-2 Developmental Assessment

FRAPCON-2 calculations using all mechanical and gas release options are compared with well-characterized experimental data and with calculations of generic fuel rod response by FRAPCON-1. These comparisons indicate that FRAPCON-2 is capable of analyzing the fuel rod response for the wide range of cases for which the code was designed and compares well with experimental data

On the ternary complex analysis and its applications

Previouly a possible extension of the complex number, together with its connected trigonometry was introduced. In this paper we focuss on the simplest case of ternary complex numbers. Then, some types of holomorphicity adapted to the ternary complex numbers and the corresponding results upon integration of differential forms are given. Several physical applications are given, and in particuler one type of holomorphic function gives rise to a new form of stationary magnetic field. The movement of a monopole type object in this field is then studied and shown to be integrable. The monopole scattering in the ternary field is finally studied.Comment: LaTeX 28 page