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arXiv 1601.07530hep-th
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关于$R^2$的T-对偶性--对DBI的修正action在规范场的所有阶

On T-duality of $R^2$-corrections to DBI action at all orders of gauge field

Ahmad Ghodsi, Mohammad R. Garousi, Ghadir Jafari

摘要:

最近,人们观察到,在平坦时空中的T-对偶不变世界体积理论中,所有阶的规范场强度和所有阶的D-膜速度都出现在两个特定的矩阵中。利用这两个矩阵,我们构造了两个无质量的NSNS态的世界体积耦合的顺序$α'^2$和所有的顺序的速度和规范场的强度,通过要求他们是不变的线性T-对偶。然后,标准扩展$F\rightarrow F+P[B]$产生B场回撤到动作中的所有命令。我们比较了零速度和规范场强度的耦合,在一个恒定的背景B场的存在下,与两个无质量NSNS顶点算子的盘级S-矩阵元素的$α'^2$条款。我们找到了一个确切的协议。

英文摘要:

Recently, it has been observed that in a T-duality invariant world-volume theory in flat spacetime, all orders of gauge field strength and all orders of the D-brane velocity appear in two specific matrices. Using these two matrices, we construct the world-volume couplings of two massless NSNS states at order $α'^2$ and all orders of the velocity and the gauge field strength, by requiring them to be invariant under the linear T-duality. The standard extension $F\rightarrow F+P[B]$, then produces all orders of the pull-back of B-field into the action. We compare the resulting couplings for zero velocity and gauge field strength, with the $α'^2$ terms of the disk-level S-matrix element of two massless NSNS vertex operators in the presence of a constant background B-field. We have found an exact agreement.

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