کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1843180 | 1031518 | 2006 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
New R-matrices from representations of braid-monoid algebras based on superalgebras
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper we discuss representations of the Birman-Wenzl-Murakami algebra as well as of its dilute extension containing several free parameters. These representations are based on superalgebras and their baxterizations permit us to derive novel trigonometric solutions of the graded Yang-Baxter equation. In this way we obtain the multiparametric R-matrices associated to the Uq[sl(r|2m)(2)], Uq[osp(r|2m)(1)] and Uq[osp(r=2n|2m)(2)] quantum symmetries. Two other families of multiparametric R-matrices not predicted before within the context of quantum superalgebras are also presented. The latter systems are indeed non-trivial generalizations of the Uq[Dn+1(2)] vertex model when both distinct edge variables statistics and extra free-parameters are admissible.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nuclear Physics B - Volume 732, Issue 3, 9 January 2006, Pages 444-462
Journal: Nuclear Physics B - Volume 732, Issue 3, 9 January 2006, Pages 444-462
نویسندگان
W. Galleas, M.J. Martins,