An example of unipolar induction is a slab of material with (relative) permittivity and (relative) permeability μ that is immersed in a uniform external magnetic field H0 parallel to the plane of the slab, such that if the slab has velocity v perpendicular to H0 but also in the plane of the slab, a nonzero voltage difference V is detected between sliding contacts (fixed in the laboratory) on op...

We develop a matrix model for the SO(32) Heterotic string with certain Wilson lines on the lightlike circle. This is done by using appropriate T-dualities. The method works for an infinite number of Wilson lines, but not for all. The matrix model is the theory on the D-string of type I wrapped on a circle with a SO(32) Wilson line on the circle. The radius of the circle depends on the Wilson li...

We show that the supersymmetric Wilson loops in IIB matrix model give a transition from supersymmetric Yang-Mills theory to supersymmetric space-time theory. In comparison with Green-Schwarz superstring we identify the supersymmetric Wilson loops with the asymptotic states of IIB superstring. It is pointed out that the supersymmetry transformation law of the Wilson loops is the inverse of that ...

We study bubbling geometry in topological string theory. Specifically, we analyse ChernSimons theory on both the 3-sphere and lens spaces in the presence of a Wilson loop of an arbitrary representation. For each three manifold, we formulate a multi-matrix model whose partition function is the Wilson loop vev and compute the spectral curve. This spectral curve is closely related to the Calabi-Ya...

Hot potassium carbonate (PC) solution in comparison with amine solution had a decreased energy of regeneration and a high chemical solubility of . To present vapor and liquid equation (VLE) of this system and predict  solubility, the ion specific non-electrolyte Wilson-NRF local composition model (isNWN) was used in this study; the framework of this model was molecular. Therefore, it was suitab...

Gradient Flow Exact Renormalization Group (GFERG) is a framework to define the Wilson action via gradient flow equation. We study fixed point structure of GFERG equation associated with general for scalar field theories and show that it same as conventional Wilson-Polchinski (WP) in general. Furthermore, we discuss has similar RG around WP illustrate these results $O(N)$ non-linear sigma model ...