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arXiv 0902.1552hep-th
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超弦散射振幅的纯旋量形式

Superstring Scattering Amplitudes with the Pure Spinor Formalism

Carlos R. Mafra

摘要:

本文讨论了如何利用纯旋量理论有效地计算超弦散射振幅。我们强调纯旋量超空间形式的运动因子,在这种语言的简化功能,允许一个明确的无质量的四点振幅之间的关系,在树的水平,一个和两个loops被发现,我们展示了这些身份优雅地简化计算任务的振幅为所有可能的外部状态组合相关的超对称性。特别是,涉及费米子态的双环振幅以前从未被计算过。通过显式计算,我们表明,与最小和非最小的形式主义计算的一个和两个循环的振幅是等价的。进一步计算了无质量六点开弦振幅的规范变化,得到了与反常相消有关的运动学因子。我们还讨论了一些初步的结果,关于无质量的五点振幅在一圈。

英文摘要:

This thesis discusses how the pure spinor formalism can be used to efficiently compute superstring scattering amplitudes. We emphasize the pure spinor superspace form of the kinematic factors, where the simplifying features of this language have allowed an explicit relation among the massless four-point amplitudes at tree-level, one- and two-loops to be found. We show how these identities elegantly simplify the task of computing the amplitudes for all possible external state combination related by supersymmetry. In particular, the two-loop amplitudes involving fermionic states had never been computed before. By explicit calculation we show that the one- and two-loop amplitudes computed with the minimal and non-minimal formalisms are equivalent. Furthermore we compute the gauge variation of the massless six-point open string amplitude and obtain the kinematic factor related to the anomaly cancellation. We also discuss some preliminary results regarding the massless five-point amplitude at one-loop.

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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