论文标题
模拟theta函数和n = 3个超符号模块的字符II
Mock theta functions and characters of N=3 superconformal modules II
论文作者
论文摘要
在$ m $或$ s $是使用$ d（2,1; a）$的coroot lattice的一半时，我们获得了模拟theta函数的明确公式$φ^{[m，s]} $。这使我们与$φ^{[m，s]} $的复发公式一起知道所有$ m $和$ s $的$φ^{[m，s]} $。作为应用程序，我们推定了从$ \ hat {osp}（3 | 2）$ - 模块获得的n = 3个模块的n = 3个模块的显式公式。
We obtain an explicit formula for the mock theta function $Φ^{[m,s]}$ in the case when either $m$ or $s$ is a half of an odd integer by using the coroot lattice of $D(2,1;a)$. This enables us, together with the recurrence formula for $Φ^{[m,s]}$, to know $Φ^{[m,s]}$ for all $m$ and $s$. As its application, we deduce explicit formulas for the character and the supercharacter of N=3 modules obtained from the quantum Hamiltonian reduction of $\hat{osp}(3|2)$-modules.
