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4D Chern-Simons and the pure spinor AdS₅times S⁵ superstring
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4D Chern-Simons and the pure spinor AdS₅times S⁵ superstring
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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.
Forward citations
Cited by 2 Pith papers
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D-branes and nonlinear interactions in the $AdS$ pure spinor string
Zero-field half-BPS D-branes in the AdS5×S5 pure spinor string are organized by involutions exchanging the odd Z4 grades, and boundary BRST invariance gives DBI-like consistency equations.
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Courant-Hilbert deformations of Yang-Baxter sigma models
Yang-Baxter and Courant-Hilbert deformations combine inside 4D Chern-Simons theory: the corrected action equals the master Lagrangian plus half the trace of the energy-momentum tensor.
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