تقرير
Elliptic deformation of $\mathcal{W}_N$-algebras
| العنوان: | Elliptic deformation of $\mathcal{W}_N$-algebras |
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| المؤلفون: | Avan, J., Frappat, L., Ragoucy, E. |
| المصدر: | SciPost Phys. 6, 054 (2019) |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra, High Energy Physics - Theory, Mathematical Physics |
| الوصف: | We construct $q$-deformations of quantum $\mathcal{W}_N$ algebras with elliptic structure functions. Their spin $k+1$ generators are built from $2k$ products of the Lax matrix generators of ${\mathcal{A}_{q,p}(\widehat{gl}(N)_c)}$). The closure of the algebras is insured by a critical surface condition relating the parameters $p,q$ and the central charge $c$. Further abelianity conditions are determined, either as $c=-N$ or as a second condition on $p,q,c$. When abelianity is achieved, a Poisson bracket can be defined, that we determine explicitly. One connects these structures with previously built classical $q$-deformed $\mathcal{W}_N$ algebras and quantum $\mathcal{W}_{q,p}(\mathfrak{sl}_N)$. Comment: 20 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.21468/SciPostPhys.6.5.054 |
| URL الوصول: | http://arxiv.org/abs/1810.11410 |
| رقم الأكسشن: | edsarx.1810.11410 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.21468/SciPostPhys.6.5.054 |
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