标题： 扩展的手征代数与库仑气体中SU(2)量子数的出现 显示英文标题

标题： Extended chiral algebras and the emergence of SU(2) quantum numbers in the Coulomb gas

摘要： 我们研究了c(p,q)模型中"最小"部分之外的退化算符所包含的一组手征对称性。 对于在共形权重 [ (j+1)p-1 ][ (j+1)q -1 ] 处的算符 h_{(2j+2)q-1,1}=h_{1,(2j+2)p-1}，对于每个 2j \in N，我们发现2j+1个具有SU(2)自旋j表示的量子数的手征算符。 我们给出了这些算符的自由场构造，这使得这种结构显而易见，并允许直接计算它们的OPE而无需使用任何筛选电荷。 此系列中第一个非平凡的手征场在j=1/2处，是一个费米子或准费米子双重态。 在j=1处的三个手征玻色场生成一个闭合的W代数，我们计算了这些三重态模型的真空特征。 显示英文摘要

摘要： We study a set of chiral symmetries contained in degenerate operators beyond the `minimal' sector of the c(p,q) models. For the operators h_{(2j+2)q-1,1}=h_{1,(2j+2)p-1} at conformal weight [ (j+1)p-1 ][ (j+1)q -1 ], for every 2j \in N, we find 2j+1 chiral operators which have quantum numbers of a spin j representation of SU(2). We give a free-field construction of these operators which makes this structure explicit and allows their OPEs to be calculated directly without any use of screening charges. The first non-trivial chiral field in this series, at j=1/2, is a fermionic or para-fermionic doublet. The three chiral bosonic fields, at j=1, generate a closed W-algebra and we calculate the vacuum character of these triplet models.