Dimensional Supersymmetric Model Research Articles

Aspects of 4d supersymmetric dynamics and geometry

In this set of five Lectures we present a basic toolbox to discuss the dynamics of four dimensional supersymmetric quantum field theories. In particular we overview the program of geometrically engineering the four dimensional supersymmetric models as compactifications of six dimensional SCFTs. We discuss how strong coupling phenomena in four dimensions, such as duality and emergence of symmetry, can be naturally imbedded in the geometric constructions. The Lectures mostly review results which previously appeared in the literature but also contain some unpublished derivations.

Evaluation of the Witten Index in 1+1 Dimensional Supersymmetric Models with O(N) Symmetry

We present a way to calculate the Witten index Δ for a class of 1+1 dimensional supersymmetric (SUSY) models with O(N) symmetry. Since Δ is invariant under an adiabatic change of parameters, an O(N) non-invariant but SUSY term 2hφN is added to the Lagrangian, therefore the degeneracy of zero-energy states due to O(N) symmetry is removed. It is shown that SUSY breaking can occur for the SUSY O(N) Wess-Zumino model.

(1+1)-dimensional supersymmetry at finite temperature. A variational approach

We study a (1+1)-dimensional supersymmetric model with Z(2) symmetry at finite temperature with a variational method. For this purpose we use the thermofield dynamics developed by Umezawa et al. and show that at any finite temperature supersymmetry is broken, and that Z(2) symmetry is restored for temperatures greater than a critical temperature T c .

Hamiltonian Monte Carlo study of (1+1)-dimensional models with restricted supersymmetry on the lattice

Lattice versions with restricted supersymmetry of simple (1+1)-dimensional supersymmetric models are numerically studied using a local hamiltonian Monte Carlo method. The pattern of supersymmetry breaking closely follows the expectations of Bartels and Bronzan obtained in an alternative lattice formulation.