论文标题
Witten关于多个$ dp $ branes的立方开放字段理论
Witten's Cubic Open String Field Theory on multiple $Dp$-branes
论文作者
论文摘要
我们研究Witten关于多个$ dp $ branes的Cutic Open String Field理论。在多个$ dp $ -Branes上，字符串字段携带$ u（n）$组索引。将字符串世界表映射到上半部分复合平面上，并评估Witten的Cutic Open String的Polyakov String路径积分，我们获得了一个，两个和三弦顶点操作员的Fock空间表示。在低能区域中，该系统由含有$ u（n）$组索引的无质量轨距场和无质量标量场描述。两弦顶点诱导量规场和标量场的质量项。立方相互作用正确地降低到非亚伯仪表场的立方术语，量规场的立方相互作用项以及标量字段的$（p+1）$尺寸空间。因此，Witten的弦字段理论可能是研究多个$ DP $ branes上开放字符串的量子动态的有用工具。
We study Witten's cubic open string field theory on multiple $Dp$-branes. On multiple $Dp$-branes the string fields carry $U(N)$ group indices. Mapping the string world-sheet onto the upper half complex plane and evaluating the Polyakov string path integral of Witten's cubic open string, we obtain a Fock space representation of one, two and three-string vertex operators. In the low energy region, the system is described by massless gauge fields and massless scalar fields, carrying $U(N)$ group indices. The two-string vertex induces mass terms for the gauge fields and the scalar fields. The cubic interaction reduces correctly to the cubic term of the non-Abelian gauge fields, cubic interaction terms of the gauge fields, and the scalar fields on $(p+1)$ dimensional space. Thus, Witten's string field theory may be a useful tool to study the quantum dynamics of open strings on multiple $Dp$-branes.
