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Integrable higher order deformations of Heisenberg supermagnetic model

J. Math. Phys. 50, 113502 (2009); doi:10.1063/1.3251299

Published 3 November 2009

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Jia-Feng Guo,1 Shi-Kun Wang,2,3 Ke Wu,1,3 Zhao-Wen Yan,1 and Wei-Zhong Zhao1,4
1School of Mathematical Sciences, Capital Normal University, Beijing 100048, China
2College of Mathematics and Information Science, Henan University, Kaifeng 475004, China
3KLMM, AMSS, Chinese Academy of Sciences, Beijing 100080, China
4Institute of Mathematics and Interdisciplinary Science, Capital Normal University, Beijing 100048, China
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) S2=3S−2I for S[is-an-element-of]USPL(2/1)/S(U(2)×U(1)) and (ii) S2=S for S[is-an-element-of]USPL(2/1)/S(L(1/1)×U(1)). In terms of the gauge transformation, their corresponding gauge equivalent counterparts are derived. ©2009 American Institute of Physics
History: Received 25 June 2009; accepted 18 September 2009; published 3 November 2009
Permalink: http://link.aip.org/link/?JMAPAQ/50/113502/1
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KEYWORDS and PACS

Keywords
PACS
  • 75.10.Jm
    Quantized spin models (magnetism)
  • 11.30.Pb
    Supersymmetry in particles and fields
  • 71.10.Fd
    Lattice fermion models (condensed matter)
  • 75.10.Lp
    Band and itinerant models (magnetism)
  • 71.27.+a
    Strongly correlated electron systems; heavy fermions
  • YEAR: 2009

PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
Publisher:
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