βγ-systems interacting with sigma-models

holonomy sigma models with boundaries

A study of (1, 1) supersymmetric two-dimensional non-linear sigma models with boundary on special holonomy target spaces is presented. In particular, the consistency of the boundary conditions under the various symmetries is studied. Models both with and without torsion are discussed.

Stochastic Local Intensity Loss Models with Interacting Particle Systems

Aurélien Alfonsi ∗ Université Paris-Est, CERMICS, Project Team MathRisk ENPC-INRIA-UMLV, Ecole des Ponts, 6-8 avenue Blaise Pascal, 77455 Marne-la-Vallée, France Céline Labart † Laboratoire de Mathématiques, CNRS UMR 5127 Université de Savoie, Campus Scientifique 73376 Le Bourget du Lac, France Jérôme Lelong ‡ Univ. Grenoble Alpes, Laboratoire Jean Kuntzmann, BP 53, 38041 Grenoble, Cedex 09, Fr...

Systems of Interacting Particles as Placement Models

We look at placement problems from dynamics point of view and construct systems of interacting particles, evolution of which can be interpreted in terms of common placement objectives. Similar to the formalism of classical mechanics, a good dynamical description may evaluate certain characteristics even before entering computationally expensive experimental phases. We demonstrate performance of...

Interacting Particle Systems – featuring Ising Models

Massive sigma models with (p,q) supersymmetry

We determine the general scalar potential consistent with (p,q) super-symmetry in two-dimensional non-linear sigma models with torsion, generalizing previous results for special cases. We thereby find many new su-persymmetric sigma models with potentials, including new (2,2) and (4,4) models.