# Simple models in supersymmetric quantum mechanics on a graph

@article{Kan2013SimpleMI, title={Simple models in supersymmetric quantum mechanics on a graph}, author={Nahomi Kan and Koichiro Kobayashi and Kiyoshi Shiraishi}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2013}, volume={46} }

We study some types 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 the edges of a graph. We investigate a discrete version of 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 of supersymmetric extensions of the Lee–Wick…

## 2 Citations

### Supersymmetric Gauge Theory on the Graph

- Mathematics
- 2021

We consider two-dimensional N =(2 , 2) supersymmetric gauge theory on discretized Riemann surfaces. We ﬁnd that the discretized theory can be eﬃciently described by using graph theory, where the…

### Kazakov-Migdal model on the graph and Ihara zeta function

- MathematicsJournal of High Energy Physics
- 2022

We propose the Kazakov-Migdal model on graphs and show that, when the parameters of this model are appropriately tuned, the partition function is represented by the unitary matrix integral of an…

## References

SHOWING 1-10 OF 56 REFERENCES

### Divergences in quantum electrodynamics on a graph

- Physics, Mathematics
- 2005

We consider a model of quantum electrodynamics (QED) on a graph as the generalization of dimensional deconstruction with the Abelian symmetry. Arbitrary structures of the theory space correspond to…

### Leibniz rule and exact supersymmetry on lattice: A Case of supersymmetrical quantum mechanics

- Physics
- 2005

We propose a new formulation of lattice theory. It is given by a matrix form and suitable for satisfying Leibniz rule on lattice. The theory may be interpreted as a multi-flavor system. By realizing…

### Supersymmetric cubic Galileons have ghosts

- Physics
- 2013

Galileons are higher-derivative theories of a real scalar which nevertheless admit second-order equations of motion. They have interesting applications as dark energy models and in early universe…

### Spontaneous supersymmetry breaking in matrix models from the viewpoints of localization and Nicolai mapping

- Physics
- 2011

We consider supersymmetric matrix models of the type of the Wess-Zumino model, whose supersymmetry (SUSY) may be spontaneously broken. When SUSY is broken, the partition function vanishes since it is…

### Supersymmetric Models with Higher Dimensional Operators

- Physics
- 2007

In 4D renormalisable theories, integrating out massive states generates in the low energy effective action higher dimensional operators (derivative or otherwise). Using a superfield language it is…

### Lattice supersymmetry and topological field theory

- Physics
- 2003

It is known that certain theories with extended supersymmetry can be discretized in such a way as to preserve an exact fermionic symmetry. In the simplest model of this kind, we show that this…

### FERMION SPECTRUM AND LOCALIZATION ON KINKS IN A DECONSTRUCTED DIMENSION

- Physics
- 2011

We study the deconstructed scalar theory having nonlinear interactions and being renormalizable. It is shown that the kink-like configurations exist in such models. The possible forms of Yukawa…