Simple Models in Supersymmetric Quantum Mechanics on a Graph
arXiv:1304.0266 · doi:10.1088/1751-8113/46/36/365401
Abstract
We study some sorts of dimensionally-deconstructed models for supersymmetric (Euclidean) quantum mechanics, or zero-dimensional field theory. In these models, we assign bosonic and fermionic variables to vertices and edges of a graph. We investigate a discrete version for the Gaussian model and the Wess-Zumino-type model on a graph. The topological index as a multiple integral is discussed on these models. In addition, we propose simple examples for supersymmetric extensions of the Lee-Wick model and the Galileon model. A model with two supersymmetries is also provided and generalization to `local' supersymmtric models is examined.
19 pages, no figure. v3: typos fixed, references corrected
References in corpus (11)
- The Lee-Wick Standard Model
- Supersymmetric Models with Higher Dimensional Operators
- Living with Ghosts and their Radiative Corrections
- Taming the Leibniz Rule on the Lattice
- Supersymmetric Cubic Galileons Have Ghosts
- New critical behavior in a supersymmetric double-well matrix model
- Vortices and Superfields on a Graph
- Higher-Derivative Wess-Zumino Model in Three Dimensions
- A brief review on geometry and spectrum of graphs
- Leibniz rule, locality and supersymmetry on lattice
- Harnack inequalities for graphs with non-negative Ricci curvature