تقرير
The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure
| العنوان: | The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure |
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| المؤلفون: | Beisert, N., Spill, F. |
| المصدر: | Commun.Math.Phys.285:537-565,2009 |
| سنة النشر: | 2007 |
| المجموعة: | Mathematics Nonlinear Sciences High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory, Mathematics - Quantum Algebra, Nonlinear Sciences - Exactly Solvable and Integrable Systems |
| الوصف: | In this paper we investigate the algebraic structure of AdS/CFT in the strong-coupling limit. We propose an expression for the classical r-matrix with (deformed) u(2|2) symmetry, which leads to a quasi-triangular Lie bialgebra as the underlying symmetry algebra. On the fundamental representation our r-matrix coincides with the classical limit of the quantum R-matrix. Comment: 31 pages, v2: added comment on classical double structure in 4.5. new section 5 on relation to other algebras (from old appendix and new results). fixed typos and mathematical inaccuracies, added references, v3: improved mathematical presentation, to appear in CMP |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s00220-008-0578-2 |
| URL الوصول: | http://arxiv.org/abs/0708.1762 |
| رقم الأكسشن: | edsarx.0708.1762 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s00220-008-0578-2 |
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