Spontaneous supersymmetry breaking in large-N matrix models with slowly varying potential

Spontaneous supersymmetry breaking in large - N matrix models with slowly varying potential

We construct a class of matrix models, where supersymmetry (SUSY) is spontaneously broken at the matrix size N infinite. The models are obtained by dimensional reduction of matrix-valued SUSY quantum mechanics. The potential of the models is slowly varying, and the large-N limit is taken with the slowly varying limit. First, we explain our formalism, introducing an external field to detect spon...

Spontaneous Supersymmetry Breaking, Localization and Nicolai Mapping in Matrix Models

Spontaneous N = 2 → N = 1 Local Supersymmetry Breaking with Surviving Compact Gauge Groups *

Generic partial supersymmetry breaking of N = 2 supergravity with zero vacuum energy and with surviving unbroken arbitrary gauge groups is exhibited. Specific examples are given. ∗ Supported in part by EEC Science Program SC1*CT92-0789.

Integrable Supersymmetry Breaking Perturbations of N=1,2 Superconformal Minimal Models

We display a new integrable perturbation for both N=1 and N=2 superconformal minimal models. These perturbations break supersymmetry explicitly. Their existence was expected on the basis of the classification of integrable perturbations of conformal field theories in terms of distinct classical KdV type hierarchies sharing a common second Hamiltonian structure.

Partial Spontaneous Breaking of Global Supersymmetry ∗ †

During the last two years, vast progress has been made in our understanding of the nonperturbative dynamics of supersymmetric quantum field theory and string theory. N = 2 supersymmetric theories present a manifold of vacua (so called moduli space) corresponding to the arbitrary values of scalar fields in the flat directions of the potential; while the physics is determined at a given point on ...