摘要
We give an explicit description for a weight three generator of the coset vertex operator algebra C_L_(sln)(l,0)L_(sln)(1,0)(L_(sln)(l+1,0),for n≥2, l≥1. Furthermore, we prove that the nommutant C_L_(sl3)(l,0)L_(sl3)(1,0)(L_(sl3)(l+1,0)) is isomorphic to the W-algebra W_(-3+(l+3)/(l+4))(sl_3), which confirms the conjecture for the sl_3 case that C_L_g(l,0)L_g(1,0)(L_g(l + 1,0)) is isomorphic to W_(-h+(l+h)/(l+h+1))(g) for simaly-laced Lie algebras g with its Coxeter number h for a positive integer l.
We give an explicit description for a weight three generator of the coset vertex operator algebra C_L_（sln）（l,0）L_（sln）（1,0）（L_（sln）（l＋1,0）,for n≥2, l≥1. Furthermore, we prove that the nommutant C_L_（sl3）（l,0）L_（sl3）（1,0）（L_（sl3）（l＋1,0）） is isomorphic to the W-algebra W_（-3＋（l＋3）/（l＋4））（sl_3）, which confirms the conjecture for the sl_3 case that C_L_g（l,0）L_g（1,0）（L_g（l ＋ 1,0）） is isomorphic to W_（-h＋（l＋h）/（l＋h＋1））（g） for simaly-laced Lie algebras g with its Coxeter number h for a positive integer l.
基金
supported by Japan Society for the Promotion of Science Grants (Grant Nos. 25287004 and 26610006)
National Natural Science Foundation of China (Grant Nos. 11371245 and 11531004)
关键词
代数学
操作员
顶点
类型
发电机
整数
W-algebra coset vertex operator algebra rationality
