Super-Hubbard models and applications

Details Super-Hubbard models and applications Super-Hubbard models and applications

2007-03-08

arxiv.org/abs/hep-th/0703078v2

JHEP 0705:008,2007

Physics

High Energy Physics

High Energy Physics - Theory

26 pages

Scientific paper

10.1088/1126-6708/2007/05/008

We construct XX- and Hubbard- like models based on unitary superalgebras gl(N|M) generalising Shastry's and Maassarani's approach of the algebraic case. We introduce the R-matrix of the gl(N|M) XX model and that of the Hubbard model defined by coupling two independent XX models. In both cases, we show that the R-matrices satisfy the Yang--Baxter equation, we derive the corresponding local Hamiltonian in the transfer matrix formalism and we determine the symmetry of the Hamiltonian. Explicit examples are worked out. In the cases of the gl(1|2) and gl(2|2) Hubbard models, a perturbative calculation at two loops a la Klein and Seitz is performed.

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