Integrable higher order deformations of Heisenberg supermagnetic model

The Heisenberg supermagnet model is an integrable supersymmetric system and has a close relationship with the strong electron correlated Hubbard model. In this paper, we investigate the integrable higher order deformations of Heisenberg supermagnet models with two different constraints: (i) S 2 = 3...

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Bibliographic Details
Published in:Journal of mathematical physics 2009-11, Vol.50 (11), p.113502-113502-11
Main Authors: Guo, Jia-Feng, Wang, Shi-Kun, Wu, Ke, Yan, Zhao-Wen, Zhao, Wei-Zhong
Format: Article
Language:English
Subjects:
Deformation
ELECTRON CORRELATION
Electrons
Exact sciences and technology
GAUGE INVARIANCE
HEISENBERG MODEL
HUBBARD MODEL
INTEGRAL CALCULUS
Mathematical methods in physics
Mathematics
Physics
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Sciences and techniques of general use
SUPERSYMMETRY
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Summary:The Heisenberg supermagnet model is an integrable supersymmetric system and has a close relationship with the strong electron correlated Hubbard model. In this paper, we investigate the integrable higher order deformations of Heisenberg supermagnet models with two different constraints: (i) S 2 = 3 S − 2 I for S ∊ U S P L ( 2 / 1 ) / S ( U ( 2 ) × U ( 1 ) ) and (ii) S 2 = S for S ∊ U S P L ( 2 / 1 ) / S ( L ( 1 / 1 ) × U ( 1 ) ) . In terms of the gauge transformation, their corresponding gauge equivalent counterparts are derived.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.3251299