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Casimirs of the Virasoro algebra
Physics Letters B ( IF 4.3 ) Pub Date : 2024-10-18 , DOI: 10.1016/j.physletb.2024.139080 Jean-François Fortin, Lorenzo Quintavalle, Witold Skiba
Physics Letters B ( IF 4.3 ) Pub Date : 2024-10-18 , DOI: 10.1016/j.physletb.2024.139080 Jean-François Fortin, Lorenzo Quintavalle, Witold Skiba
We explicitly solve a recurrence relation due to Feigin and Fuchs to obtain the Casimirs of the Virasoro algebra in terms of the inverse of the Shapovalov form. Combined with our recent result for the inverse Shapovalov form, this allows us to write the Casimir operators as linear combinations of products of singular vectors.
中文翻译:
Virasoro 代数的 Casimirs
我们显式求解由于 Feigin 和 Fuchs 引起的递归关系,以获得 Virasoro 代数的 Casimirs,即 Shapovalov 形式的逆。结合我们最近对逆 Shapovalov 形式的结果,这使我们能够将 Casimir 运算符写为奇异向量乘积的线性组合。
更新日期:2024-10-18
中文翻译:
Virasoro 代数的 Casimirs
我们显式求解由于 Feigin 和 Fuchs 引起的递归关系,以获得 Virasoro 代数的 Casimirs,即 Shapovalov 形式的逆。结合我们最近对逆 Shapovalov 形式的结果,这使我们能够将 Casimir 运算符写为奇异向量乘积的线性组合。