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arXiv 1202.0170hep-th
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IIB型超弦理论中的Dirichlet边界条件和费米子T-对偶

Dirichlet boundary conditions in type IIB superstring theory and fermionic T-duality

B. Nikolic, B. Sazdovic

摘要:

本文研究了Dirichlet边界条件(动量非对易性和有效理论参数)与费米子T-对偶理论背景场之间的关系。本文对具有常背景场的IIB型超弦理论的背景中传播的开弦的端点施加Dirichlet边界条件。我们表明,在边界条件的解决方案的动量成为非交换,而坐标交换。还介绍了费米T-对偶性,并考虑了它与非对易性的关系。我们使用紧凑的符号,使IIB型超弦形式上得到的形式与格拉斯曼变量的玻色子。则动量非对易性参数是费米子T-对偶场。有效理论,即关于边界条件解的初始理论,在有效坐标下是双线性的,在世界片宇称变换下是奇数。有效度规等于初始度规,有效Kalb-Ramond场项为零。

英文摘要:

In this article we investigate the relation between consequences of Dirichlet boundary conditions (momenta noncommutativity and parameters of the effective theory) and background fields of fermionic T-dual theory. We impose Dirichlet boundary conditions on the endpoints of the open string propagating in background of type IIB superstring theory with constant background fields. We showed that on the solution of the boundary conditions the momenta become noncommutative, while the coordinates commute. Fermionic T-duality is also introduced and its relation to noncommutativity is considered. We use compact notation so that type IIB superstring formally gets the form of the bosonic one with Grassman variables. Then momenta noncommutativity parameters are fermionic T-dual fields. The effective theory, the initial theory on the solution of boundary conditions, is bilinear in the effective coordinates, odd under world-sheet parity transformation. The effective metric is equal to the initial one and terms with the effective Kalb-Ramond field vanish.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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