We investigate codimension-one vacua arising from low energy effective actions inspired by string theory, with an eye to their consistency when localized sources are allowed in the equations of motion. draw some inspiration Sugimoto's USp(32) model, simplest setting for brane supersymmetry breaking, and 0'B Dudas-Mourad solutions. Although that one can thus identify do not have a clear role thi...

We present a modified form of the Functionalized Cahn–Hilliard (FCH) functional which models highly amphiphilic systems in solvent. A molecule is if energy isolated within bulk solvent prohibitively high. For such once molecules assemble into structure it very rare for to exchange back bulk. The FCH has well with limited smoothness and admits compactly supported critical points. In limit molecu...

Given a reduced local algebra T over a suitable ring or field k we study the question of whether there are nontrivial algebra surjections R → T which induce isomorphisms Ω R/k ⊗ T → Ω T /k. Such maps, called evolutions, arise naturally in the study of Hecke algebras, as they implicitly do in the recent work of Wiles, Taylor-Wiles, and Flach. We show that the existence of non-trivial evolutions ...

We consider properties of a covariant worldvolume action for a system of N coincident Dp– branes in D=(p+2) dimensional space–time (so called codimension one branes). In the case of N coincident D0–branes in D=2 we then find a generalization of this action to a model which includes fermionic degrees of freedom and is invariant under target–space supersymmetry and worldline kappa–symmetry. We fi...