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Updated: Nov 11, 2025

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Rigorous Results on the Ground State of the Attractive SU(N) Hubbard Model
Hironobu Yoshida1, Hosho Katsura1,2,3
1Department of Physics, Graduate School of Science, The University of Tokyo, 7-3-1 Hongo, Tokyo 113-0033, Japan.
Abstract:
We study the attractive SU(N) Hubbard model with particle-hole symmetry. The model is defined on a bipartite lattice with the number of sites N_{A} (N_{B}) in the A (B) sublattice. We prove three theorems that allow us to identify the basic ground-state properties: the degeneracy, the fermion number, and the SU(N) quantum number. We also show that the ground state exhibits charge density wave order when |N_{A}-N_{B}| is macroscopically large. The theorems hold for a bipartite lattice in any dimension, even without translation invariance.
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