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arXiv · 1304.0266

Simple Models in Supersymmetric Quantum Mechanics on a Graph

Nahomi Kan·Koichiro Kobayashi·Kiyoshi Shiraishi
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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.

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Nahomi Kan, Koichiro Kobayashi, Kiyoshi Shiraishi. 2013-07-25. Simple Models in Supersymmetric Quantum Mechanics on a Graph. https://doi.org/10.1088/1751-8113%2F46%2F36%2F365401

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