Four-dimensional Chern-Simons (4DCS) theory is useful for understanding integrable sigma-models and constructing new ones. In this paper, we show how to derive the complete pure spinor ${\mathrm{AdS}}_5\times S^5$ superstring sigma-model from 4DCS theory with defects. The matter sector of this sigma model was previously derived by Costello and Yamazaki, and we propose here that the pure spinor ghosts come from gauge-fixing meromorphic transformations of 4DCS which lead to the usual pure spinor Lax connection including the ghost contribution.

中文翻译：

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4D Chern-Simons 和纯旋量 AdS5×S5 超弦

四维 Chern-Simons (4DCS) 理论对于理解可积西格玛模型和构建新模型非常有用。在本文中，我们展示了如何导出完整的纯旋量${\mathrm{广告服务}}_5\times S^5$来自 4DCS 理论的超弦 sigma 模型有缺陷。这个 sigma 模型的物质扇区先前由 Costello 和 Yamazaki 导出，我们在这里提出纯旋量鬼影来自 4DCS 的规范固定亚纯变换，这导致了通常的纯旋量 Lax 连接，包括鬼影贡献。