Super-Hubbard models and applications
Mar, 2007
26 pages
Published in:
- JHEP 05 (2007) 008
e-Print:
- hep-th/0703078 [hep-th]
Report number:
- LAPTH-1176-07
Citations per year
Abstract: (arXiv)
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.- Hubbard model
- algebra: GL(N/M)
- R-matrix
- statistical mechanics
- Yang-Baxter equation
- Hamiltonian formalism
- transfer matrix
- symmetry: GL(N|M)
- monodromy
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