New twist field couplings from the partition function for multiply wrapped D-branes
New twist field couplings from the partition function for multiply wrapped D-branes
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来自多层缠绕 D 膜配分函数的新扭转场耦合
DOI：
10.1088/1126-6708/2007/12/042
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发表时间：
2007
影响因子：
5.4
通讯作者：
S. Sciuto
中科院分区：
文献类型：
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作者：
Dario Duò;R. Russo;S. Sciuto
我们考虑玻色弦理论的环面紧化，特别是关于顶点算子、边界状态和T-对偶规则的一致定义所必需的相位（上循环）。我们使用这些成分来计算的平面多圈配分函数描述磁化或相交的D-膜之间的相互作用，也在存在开弦模。事实证明，开弦通道中的么正性关键取决于上循环的存在。然后，我们专注于2圈的情况下，研究退化极限，这个配分函数是直接相关的扭曲字段之间的树级3-点扩散。这些分解子是计算汤川耦合和D-膜唯象模型有效作用量中其他项的主要成分。通过因式分解的2-loop配分函数，我们能够计算的3点耦合的一般非因式分解环面上的阿贝尔扭场，从而推广了以前的表达式有效的2-环面。
We consider toroidal compactifications of bosonic string theory with particular regard to the phases (cocycles) necessary for a consistent definition of the vertex operators, the boundary states and the T-duality rules. We use these ingredients to compute the planar multi-loop partition function describing the interaction among magnetized or intersecting D-branes, also in presence of open string moduli. It turns out that unitarity in the open string channel crucially depends on the presence of the cocycles. We then focus on the 2-loop case and study the degeneration limit where this partition function is directly related to the tree-level 3-point correlators between twist fields. These correlators represent the main ingredient in the computation of Yukawa couplings and other terms in the effective action for D-brane phenomenological models. By factorizing the 2-loop partition function we are able to compute the 3-point couplings for abelian twist fields on generic non-factorized tori, thus generalizing previous expressions valid for the 2-torus.