کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8896307 1630414 2018 36 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Conformal embeddings of affine vertex algebras in minimal W-algebras I: Structural results
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Conformal embeddings of affine vertex algebras in minimal W-algebras I: Structural results
چکیده انگلیسی
We find all values of k∈C, for which the embedding of the maximal affine vertex algebra in a simple minimal W-algebra Wk(g,θ) is conformal, where g is a basic simple Lie superalgebra and −θ its minimal root. In particular, it turns out that if Wk(g,θ) does not collapse to its affine part, then the possible values of these k are either −23h∨ or −h∨−12, where h∨ is the dual Coxeter number of g for the normalization (θ,θ)=2. As an application of our results, we present a realization of simple affine vertex algebra V−n+12(sl(n+1)) inside the tensor product of the vertex algebra Wn−12(sl(2|n),θ) (also called the Bershadsky-Knizhnik algebra) with a lattice vertex algebra.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 500, 15 April 2018, Pages 117-152
نویسندگان
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