Integrable Deformations of Heisenberg Supermagnetic Model |
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| Authors: | YAN Zhao-Wen LI Min-LiWU Ke ZHAO Wei-Zhong |
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| Affiliation: | 1.School of Mathematical Sciences, Capital Normal University, Beijing 100048, China;2.KLMM, AMSS, Chinese Academia of Sciences, Beijing 100080, China;3.Institute of Mathematics and Interdisciplinary Science, Capital Normal University, Beijing 100048, China |
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| Abstract: | We construct the integrable deformations of the Heisenberg supermagnet model with the quadratic constraints (i) S2=3S-2I, for Sin USPL(2/1)/S(U(2)× U(1)) and (ii) S2=S, for Sin USPL(2/1)/S(L(1/1)×U(1)). Under the gauge transformation, their corresponding gauge equivalent counterparts are derived. They are the Grassman odd and super mixed derivative nonlinearSchrödinger equation, respectively. |
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| Keywords: | Heisenberg supermagnet model supersymmetry integrable equation |
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