Topological Landau-Ginzburg model of two-dimensional string theory

Justification of a two dimensional evolutionary Ginzburg-Landau superconductivity model

It is proved that a two dimensional evolutionary Ginzburg-Landau superconductivity model is an approximation of acorresponding thin plate three dimensional superconductivity model when the thickness of the plate uniformly approaches zero Some relatedtopics such as existence ofweak solutions to the three dimensional variable thickness model and the convergence when the variable thickness...

Defect statistics in the two-dimensional complex Ginzburg-Landau model.

The statistical correlations between defects in the two-dimensional complex Ginzburg-Landau model are studied in the defect-coarsening regime. In particular the defect-velocity probability distribution is determined and has the same high velocity tail found for the purely dissipative time-dependent Ginzburg-Landau (TDGL) model. The spiral arms of the defects lead to a very different behavior fo...

Topological Landau-Ginzburg theory for vortices in superfluid 4He.

We propose a new Landau-Ginzburg theory for arbitrarily shaped vortex strings in superfluid He. The theory contains a topological term and directly describes vortex dynamics. We introduce gauge fields in order to remove singularities from the Landau-Ginzburg order parameter of the superfluid, so that two kinds of gauge symmetries appear, making the continuity equation and conservation of the to...

(0,2) Landau-ginzburg Theory ⋆

A large class of (0,2) Calabi-Yau σ-models and Landau-Ginzburg orbifolds are shown to arise as different “phases” of supersymmetric gauge theories. We find a phenomenon in the Landau-Ginzburg phase which may enable one to understand which Calabi-Yau σ-models evade destabilization by worldsheet instantons. Examples of (0,2) LandauGinzburg vacua are analyzed in detail, and several novel features ...

Superconductivity: Ginzburg-Landau Theory