INVARIANT SUBALGEBRAS OF THE SMALL 𝒩 = 4 SUPERCONFORMAL ALGEBRA
INVARIANT SUBALGEBRAS OF THE SMALL 𝒩 = 4 SUPERCONFORMAL ALGEBRA
复制标题
DOI：
10.1007/s00031-021-09652-1
复制
发表时间：
2019-10
影响因子：
0.7
通讯作者：
T. Creutzig;A. Linshaw;W. Riedler
中科院分区：
文献类型：
--
作者：
T. Creutzig;A. Linshaw;W. Riedler
研究了小𝒩=4超共形代数的轨道和陪集的各个方面。首先，我们确定一般水平和特定水平的最小强生成元。作为推论，我们得到了任意复Enrique曲面上手征de Rham复形的整体截面的顶点代数。我们还证明了具有Com(Vℓ(𝔰𝔩2)；Vℓ+1(𝔰𝔩2)⊗𝒲-5/2(𝔰𝔩4；FRECT)的小𝒩=4超共形代数的陪集的轨道，以及在特殊水平上具有退化容许水平的Grassman陪集和主要的A型⊗𝒲-代数。这些巧合将我们引向一种新的涉及Grassmanian超陪集的水平秩对偶性。
Various aspects of orbifolds and cosets of the small 𝒩 = 4 superconformal algebra are studied. First, we determine minimal strong generators for generic and specific levels. As a corollary, we obtain the vertex algebra of global sections of the chiral de Rham complex on any complex Enriques surface. We also identify orbifolds of cosets of the small 𝒩 = 4 superconformal algebra with Com(Vℓ(𝔰𝔩2);Vℓ+1(𝔰𝔩2) ⊗ 𝒲–5/2(𝔰𝔩4;frect)) and in addition at special levels with Grassmanian cosets and principal 𝒲-algebras of type A at degenerate admissible levels. These coincidences lead us to a novel level-rank duality involving Grassmannian supercosets.