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Chern-Simons Origin of Superstring Integrability

Costello, K. and Stefanski, B. (2020). Chern-Simons Origin of Superstring Integrability. Physical Review Letters,


We derive the AdS5×S5 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.

Publication Type: Article
Additional Information: This is the accepted version of an article to be pulished in Physical Review Letters. The final published version is to be available online at
Subjects: Q Science > QA Mathematics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
Date Deposited: 14 Sep 2020 11:54
Text - Accepted Version
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