Recursive structure of the Gauss hypergeometric function and boundary/crosscap conformal block
Recursive structure of the Gauss hypergeometric function and boundary/crosscap conformal block
复制标题
高斯超几何函数和边界/交叉帽共形块的递归结构
DOI：
10.1142/s0217732321502722
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发表时间：
2021
影响因子：
1.4
通讯作者：
Nakayama Yu
中科院分区：
文献类型：
--
作者：
Pietro Butti; Margarita Garcia Perez; Antonio Gonzalez-Arroyo; 石川健一; 大川正典;奈良寧;Nakayama Yu
高斯超几何函数表现出一种类似于保形块的递归结构。我们将其与边界/交叉共形场理论中由表示理论得到的共形块的递推结构进行了比较。我们发现极点结构是完全一致的，但高斯超几何函数中的递归结构有点“脱壳”。
The Gauß hypergeometric function shows a recursive structure which resembles those found in conformal blocks. We compare it with the recursive structure of the conformal block in boundary/crosscap conformal field theories that is obtained from the representation theory. We find that the pole structure perfectly agrees but the recursive structure in the Gauß hypergeometric function is slightly “off-shell”.