论文标题
c = 3/2和uglov多项式的AGT基础
AGT basis in SCFT for c=3/2 and Uglov Polynomials
论文作者
论文摘要
AGT允许一个人对大型手性CFT代数计算D = 2 CFT的共形块。这与（扩展）手性代数的模块中某个正交基础的存在有关。基础的要素是某些可集成模型的特征向量，通常由年轻图的n个tublace标记。特别是，发现在Virasoro情况下，这些向量是用杰克多项式表示的，由2个普通的年轻图的标签标记，对于超级视频案例，它们与uglov多项式有关，并由两个有色年轻图标记。在通用中央电荷的情况下，在其中一个年轻图为空的情况下，该语句已被检查。在本说明中，我们使用基础研究n = 1 scft和构造4点相关函数。为此，我们需要澄清基础元素和UGLOV多项式之间的连接，我们还需要使用两个隆隆式化及其与反射操作员的连接。对于中央电荷$ C = 3/2 $，我们检查了整个图表的UGLOV多项式有连接。
AGT allows one to compute conformal blocks of d = 2 CFT for a large class of chiral CFT algebras. This is related to the existence of a certain orthogonal basis in the module of the (extended) chiral algebra. The elements of the basis are eigenvectors of a certain integrable model, labeled in general by N-tuples of Young diagrams. In particular, it was found that in the Virasoro case these vectors are expressed in terms of Jack polynomials, labeled by 2-tuples of ordinary Young diagrams, and for the super-Virasoro case they are related to Uglov polynomials, labeled by two colored Young diagrams. In the case of a generic central charge this statement was checked in the case when one of the Young diagrams is empty. In this note we study the N=1 SCFT and construct 4 point correlation function using the basis. To this end we need to clarify the connection between basis elements and Uglov polynomials, we also need to use two bosonizations and their connection to the reflection operator. For the central charge $c=3/2$ we checked that there is a connection with the Uglov polynomials for the whole set of diagrams.
