تقرير
Limits of Vertex Algebras and Large N Factorization
| العنوان: | Limits of Vertex Algebras and Large N Factorization |
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| المؤلفون: | Gemünden, Thomas, Keller, Christoph A. |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics High Energy Physics - Theory |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra, High Energy Physics - Theory |
| الوصف: | We investigate the limit of sequences of vertex algebras. We discuss under what condition the vector space direct limit of such a sequence is again a vertex algebra. We then apply this framework to permutation orbifolds of vertex operator algebras and their large N limit. We establish that for any nested oligomorphic permutation orbifold such a large N limit exists, and we give a necessary and sufficient condition for that limit to factorize. This helps clarify the question of what VOAs are candidates for holographic conformal field theories in physics. Comment: 18 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s00220-023-04712-x |
| URL الوصول: | http://arxiv.org/abs/2209.14352 |
| رقم الأكسشن: | edsarx.2209.14352 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s00220-023-04712-x |
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