کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1840418 | 1031205 | 2013 | 36 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Integrable three-state vertex models with weights lying on genus five curves
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
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چکیده انگلیسی
We investigate the Yang-Baxter algebra for U(1) invariant three-state vertex models whose Boltzmann weights configurations break explicitly the parity-time reversal symmetry. We uncover two families of regular Lax operators with nineteen non-null weights which ultimately sit on algebraic plane curves with genus five. We argue that these curves admit degree two morphisms onto elliptic curves and thus they are bielliptic. The associated R-matrices are non-additive in the spectral parameters and it has been checked that they satisfy the Yang-Baxter equation. The respective integrable quantum spin-1 Hamiltonians are exhibited.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nuclear Physics B - Volume 874, Issue 1, 1 September 2013, Pages 243-278
Journal: Nuclear Physics B - Volume 874, Issue 1, 1 September 2013, Pages 243-278
نویسندگان
M.J. Martins,