N=2 Moduli Spaces and N=1 Dualities for SO(n_c) and USp(2n_c) SuperQCD

We determine the exact global structure of the moduli space of $N{=}2$ supersymmetric $SO(n)$ and \USp(2n) gauge theories with matter hypermultiplets in the fundamental representations, using the non-renormalization theorem for the Higgs branches and the exact solutions for the Coulomb branches. By adding an $(N{=}2)$--breaking mass term for the adjoint chiral field and varying the mass, the $N{=}2$ theories can be made to flow to either an ``electric'' $N{=}1$ supersymmetric QCD or its $N{=}1$ dual ``magnetic'' version. We thus obtain a derivation of the $N{=}1$ dualities of Seiberg.Comment: 20 pages, harvmac (b

Some Properties of Transforms in Culture Theory

It is shown that, in certain circumstances, systems of cultural rules may be represented by doubly stochastic matrices denoted called possibility transforms, and by certain real valued possibility densities with inner product. Using such objects we may characterize a certain problem of ethnographic and ethological description as a problem of prediction, in which observations are predicted by properties of fixed points of transforms of pure systems, or by properties of convex combinations of such pure systems. That is, ethnographic description is an application of the Birkhoff theorem regarding doubly stochastic matrices on a space whose vertices are permutations.Comment: Read at International Quantum Structures Association meetings, 200

Some properties of unstable monopoles in Super-QCD

We study embeddings of the Prasad-Sommerfield monopole solution in SU(N) Super-QCD (N>2), where the role of the Higgs field is played by the squarks in the fundamental representation. Classically, the resulting configurations live in a phase with unbroken SU(k) subgroups of SU(N) (as a result they are not topologically stable). The structure of zero modes is such that they can be naturally interpreted as massive chiral superfields with R charge one and baryon number zero, transforming in the adjoint representation of a dual gauge group defined using the Goddard-Nuyts-Olive (GNO) framework. We discuss the possible applications of these monopoles to N=1 duality, and more generally the possibility of relating GNO-type dual gauge groups to those appearing in N=1 duality.Comment: 15 pages. harvma

Sfermion masses in Nelson-Strassler type of models: SUSY standard models coupled with SCFTs

We study soft SUSY breaking parameters in the Nelson-Strassler type of models: SUSY standard models coupled with SCFTs. In this type of models, soft SUSY breaking parameters including sfermion masses can be suppressed around the decoupling scale of SCFTs. We clarify the condition to derive exponential suppression of sfermion masses within the framework of pure SCFTs. Such behavior is favorable for degeneracy of sfermion masses. However, the realistic sfermion masses are not quite degenerate due to the gauge couplings and the gaugino masses in the SM sector. We show the sfermion mass spectrum obtained in such models. The aspect of suppression for the soft SUSY breaking parameters is also demonstrated in an explicit model. We also give a mechanism generating the $\mu$-term of the Electro-Weak scale by a singlet field coupled with the SCFT.Comment: 28 pages, 8 figures, LaTeX file; corrected typos and references adde

Spacetime singularity resolution by M-theory fivebranes: calibrated geometry, Anti-de Sitter solutions and special holonomy metrics

The supergravity description of various configurations of supersymmetric M-fivebranes wrapped on calibrated cycles of special holonomy manifolds is studied. The description is provided by solutions of eleven-dimensional supergravity which interpolate smoothly between a special holonomy manifold and an event horizon with Anti-de Sitter geometry. For known examples of Anti-de Sitter solutions, the associated special holonomy metric is derived. One explicit Anti-de Sitter solution of M-theory is so treated for fivebranes wrapping each of the following cycles: K\"{a}hler cycles in Calabi-Yau two-, three- and four-folds; special lagrangian cycles in three- and four-folds; associative three- and co-associative four-cycles in $G_2$ manifolds; complex lagrangian four-cycles in $Sp(2)$ manifolds; and Cayley four-cycles in $Spin(7)$ manifolds. In each case, the associated special holonomy metric is singular, and is a hyperbolic analogue of a known metric. The analogous known metrics are respectively: Eguchi-Hanson, the resolved conifold and the four-fold resolved conifold; the deformed conifold, and the Stenzel four-fold metric; the Bryant-Salamon-Gibbons-Page-Pope $G_2$ metrics on an $\mathbb{R}^4$ bundle over $S^3$, and an $\mathbb{R}^3$ bundle over $S^4$ or $\mathbb{CP}^2$; the Calabi hyper-K\"{a}hler metric on $T^*\mathbb{CP}^2$; and the Bryant-Salamon-Gibbons-Page-Pope $Spin(7)$ metric on an $\mathbb{R}^4$ bundle over $S^4$. By the AdS/CFT correspondence, a conformal field theory is associated to each of the new singular special holonomy metrics, and defines the quantum gravitational physics of the resolution of their singularities.Comment: 1+52 page

Interregional labor migration and information flows

Interregional labor migration occurs in response to the stress existing between a worker\u27s existing condition and the expected condition perceived to exist in an alternative region. These perceptions are formed from information received through various channels. Three channels are examined: interpersonal communication, general source information, and specific source information targeted at unemployed workers. In this process, trajectories of welfare levels (composed of wage plus nonwage benefits), information flows, vacancy and unemployment levels are generated for different worker and job types, regional aggregates, and the system as a whole. The behavior of the model is examined by means of numerical simulations and sensitivity analyses

Symbolic Algebra Programming for Analyzing the Long Run Dynamics of Economic Models

Economists have long used overlapping generations models to explore important empirical and theoretical issues in public nance, development, international trade, savings and monetary policy. Recently, some researchers have criticized the way these and other models characterize the long run tendency of the economy. If the equations which codify the assumptions in the models can display bizarre behavior, the models could give misleading forecasts of the behavior of the economy. By studying the mathematical equations which economists use to codify and apply these models, I am investigating the relationship between the empirically determined parameters and the corresponding long run properties of the models. This paper shows how symbolic algebra programs can facilitate the analysis of the dynamics of these non-linear equation systems. I have used the symbolic algebra capabilities of Mathematica to develop a collection of programs for analyzing the asymptotic behavior of economic models. These symbolic programming algorithms implement a set of algorithms orignally designed fo