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4D Chern-Simons and the pure spinor $AdS_5\times S^5$ superstring. (arXiv:2401.03976v1 [hep-th])

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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 $AdS_5\times S^5$ 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.

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