4D Chern-Simons and the pure spinor $AdS_5\times S^5$ superstring

Fuente: arXiv
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Auteurs principaux: Berkovits, Nathan, Pitombo, Rodrigo S.
Format: Preprint
Publié: 2024
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author Berkovits, Nathan
Pitombo, Rodrigo S.
author_facet Berkovits, Nathan
Pitombo, Rodrigo S.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2401_03976
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle 4D Chern-Simons and the pure spinor $AdS_5\times S^5$ superstring
Berkovits, Nathan
Pitombo, Rodrigo S.
High Energy Physics - Theory
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.
title 4D Chern-Simons and the pure spinor $AdS_5\times S^5$ superstring
topic High Energy Physics - Theory
url https://arxiv.org/abs/2401.03976