کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1843723 | 1031587 | 2011 | 27 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Path representation of suË(2)k states II: Operator construction of the fermionic character and spin-12-RSOS factorization
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
This is the second of two articles (independent of each other) devoted to the analysis of the path description of the states in suË(2)k WZW models. Here we present a constructive derivation of the fermionic character at level k based on these paths. The starting point is the expression of a path in terms of a sequence of nonlocal (formal) operators acting on the vacuum ground-state path. Within this framework, the key step is the construction of the level-k operator sequences out of those at level-1 by the action of a new type of operators. These actions of operators on operators turn out to have a path interpretation: these paths are precisely the finitized RSOS paths related to the unitary minimal models M(k+1,k+2). We thus unravel - at the level of the path representation of the states - a direct factorization into a k=1 spinon part times a RSOS factor. It is also pointed out that since there are two fermionic forms describing these finite RSOS paths, the resulting fermionic suË(2)k characters arise in two versions. Finally, the relation between the present construction and the Nagoya spectral decomposition of the path space is sketched.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nuclear Physics B - Volume 847, Issue 1, 1 June 2011, Pages 247-273
Journal: Nuclear Physics B - Volume 847, Issue 1, 1 June 2011, Pages 247-273
نویسندگان
Joël Lamy-Poirier, Pierre Mathieu,