Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras

التفاصيل البيبلوغرافية
العنوان: Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras
المؤلفون: Arakawa, Tomoyuki, van Ekeren, Jethro, Moreau, Anne
سنة النشر: 2021
المجموعة: Mathematics
High Energy Physics - Theory
مصطلحات موضوعية: Mathematics - Representation Theory, High Energy Physics - Theory, Mathematics - Quantum Algebra, 17B08, 17B67, 17B69, 81R10
الوصف: We apply results from the geometry of nilpotent orbits and nilpotent Slodowy slices, together with modularity and asymptotic analysis of characters, to prove many new isomorphisms between affine W-algebras and affine Kac-Moody vertex algebras and their finite extensions at specific admissible levels. In particular we identify many new collapsing levels for W-algebras.
Comment: 92 pages. Minor corrections to text and to data tables. arXiv admin note: substantial text overlap with arXiv:math/0510205 by other authors
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2102.13462
رقم الأكسشن: edsarx.2102.13462
قاعدة البيانات: arXiv