q-Virasoro Modular Triple
| العنوان: | q-Virasoro Modular Triple |
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| المؤلفون: | Maxim Zabzine, Yiwen Pan, Fabrizio Nieri |
| المصدر: | Communications in Mathematical Physics. 366:397-422 |
| بيانات النشر: | Springer Science and Business Media LLC, 2019. |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | High Energy Physics - Theory, Physics, Pure mathematics, Conjecture, business.industry, Complex system, Structure (category theory), FOS: Physical sciences, Statistical and Nonlinear Physics, Modular design, Partition function (mathematics), Algebraic construction, High Energy Physics::Theory, Compact space, High Energy Physics - Theory (hep-th), Factorization, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), business, Mathematical Physics |
| الوصف: | Inspired by 5d supersymmetric Yang-Mills theories placed on the compact space $\mathbb{S}^5$, we propose an intriguing algebraic construction for the $q$-Virasoro algebra. We show that, when multiple $q$-Virasoro "chiral" sectors have to be fused together, a natural $\mathrm{SL}(3,\mathbb{Z})$ structure arises. This construction, which we call the modular triple, is consistent with the observed triple factorization properties of supersymmetric partition functions derived from localization arguments. We also give a 2d CFT-like construction of the modular triple, and conjecture for the first time a (non-local) Lagrangian formulation for a $q$-Virasoro model, resembling ordinary Liouville theory. v1: 22 pages; v2: typos corrected, references added, notation improved, two appendixes added |
| تدمد: | 1432-0916 0010-3616 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d103b3221b10b27bbd37bdbef4380ca5Test https://doi.org/10.1007/s00220-019-03371-1Test |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....d103b3221b10b27bbd37bdbef4380ca5 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 14320916 00103616 |
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