کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4588288 1334179 2008 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Representations of certain non-rational vertex operator algebras of affine type
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Representations of certain non-rational vertex operator algebras of affine type
چکیده انگلیسی

In this paper we study a series of vertex operator algebras of integer level associated to the affine Lie algebra . These vertex operator algebras are constructed by using the explicit construction of certain singular vectors in the universal affine vertex operator algebra Nl(n−2,0) at the integer level. In the case n=1 or l=2, we explicitly determine Zhu's algebras and classify all irreducible modules in the category O. In the case l=2, we show that the vertex operator algebra N2(n−2,0) contains two linearly independent singular vectors of the same conformal weight.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 319, Issue 6, 15 March 2008, Pages 2434-2450