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arXiv · 2005.03064

The Chern-Simons Origin of Superstring Integrability

Kevin Costello·Bogdan Stefański jr
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Abstract

We derive the AdS${}_5\times$S${}^5$ Green-Schwarz superstring from four-dimensional Beltrami-Chern-Simons theory reduced on a manifold with singular boundary conditions. In this construction, the Lax connection and spectral parameter of the integrable superstring have a simple geometric origin in four dimensions as gauge connection and reduction coordinate. Kappa symmetry arises as a certain class of singular gauge transformations, while the worldsheet metric comes from complex-structure-changing Beltrami differentials. Our approach offers the possibility of investigating integrable holography using traditional field theory methods.

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Kevin Costello, Bogdan Stefański jr. 2020-05-06. The Chern-Simons Origin of Superstring Integrability. https://doi.org/10.1103/physrevlett.125.121602

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