标题： 关于D3-膜超势 显示英文标题

标题： On D3-brane Superpotential

摘要： 我们研究了在椭圆卡利扎-丘三-fold的定向叠合上的IIB紧化中，由D7-弦胶子凝聚生成的非微扰超势的D3-膜模空间依赖性。 $\Bbb{P}_{[1,1,1,6,9]}[18].$基于Ganor的工作，在弱耦合极限下，我们在平坦坐标中计算了与D3-膜相关的圈数Pfaffian，并发现圈数Pfaffian可以写成雅可比θ函数。 我们还评论了与D3-膜相关的圈数Pfaffian的复结构依赖性。 显示英文摘要

摘要： We study the D3-brane moduli dependence of the non-perturbative superpotential generated by the D7-brane gaugino condensation in a type IIB compactification on an orientifold of the elliptic Calabi-Yau threefold $\Bbb{P}_{[1,1,1,6,9]}[18].$ Building on the work of Ganor, in the weak coupling limit, we compute the D3-brane dependent one-loop pfaffian in the flat coordinates and find that the one-loop pfaffian is written as the Jacobi theta function. We also comment on the complex structure dependence of the D3-brane dependent one-loop pfaffian.