Computation of Superpotentials for D-Branes
Computation of Superpotentials for D-Branes
复制标题
D-膜超电势的计算
DOI：
10.1007/s00220-006-1527-6
复制
发表时间：
2004
影响因子：
2.4
通讯作者：
S. Katz
中科院分区：
文献类型：
--
作者：
P. Aspinwall;S. Katz
本文给出了B-型D-膜世界体积理论中树能级超势的一般计算方法。这包括在D-膜是边缘稳定的情况下的规范理论。该技术涉及分析在相干层的导出范畴中固有的A∞结构。这有效地给出了计算全纯Chern-Simons理论中关联函数的一种实用方法。作为一个例子，我们给出了一个更严格的证明，以前的结果有关的3-膜在某些奇点，包括锥。我们还提供了一个新的例子。
We present a general method for the computation of tree-level superpotentials for the world-volume theory of B-type D-branes. This includes quiver gauge theories in the case that the D-brane is marginally stable. The technique involves analyzing the A∞-structure inherent in the derived category of coherent sheaves. This effectively gives a practical method of computing correlation functions in holomorphic Chern–Simons theory. As an example, we give a more rigorous proof of previous results concerning 3-branes on certain singularities including conifolds. We also provide a new example.