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arXiv 1406.2290hep-th
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超弦纯旋量形式的光锥分析

Light-Cone Analysis of the Pure Spinor Formalism for the Superstring

Nathan Berkovits, Renann Lipinski Jusinskas

摘要:

超弦的物理状态可以在光锥规范中描述,通过在$SO\left(8\right)$协变超场上作用横玻色子$α_{-n}^{j}$和费米子$\bar{q}_{-n}^{\dot{a}}$算符,其中$j,\dot{a}=1$到$8$。在纯旋量形式主义中,这些状态以$SO\left(9,1\right)$协变的方式由BRST电荷的上同调$Q=\frac{1}{2πi}\ointλ^αd_α$描述。本文给出了一个相似变换,它简化了$Q$的形式,并将超弦顶点的光锥描述映射为$Q$上同调的DDF类算子.

英文摘要:

Physical states of the superstring can be described in light-cone gauge by acting with transverse bosonic $α_{-n}^{j}$ and fermionic $\bar{q}_{-n}^{\dot{a}}$ operators on an $SO\left(8\right)$-covariant superfield where $j,\dot{a}=1$ to $8$. In the pure spinor formalism, these states are described in an $SO\left(9,1\right)$-covariant manner by the cohomology of the BRST charge $Q=\frac{1}{2πi}\ointλ^αd_α$. In this paper, a similarity transformation is found which simplifies the form of $Q$ and maps the light-cone description of the superstring vertices into DDF-like operators in the cohomology of $Q$.

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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