Chern-Simons Origin of Superstring Integrability

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 dimension...

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Published in:Physical review letters 2020-09, Vol.125 (12), p.1-121602, Article 121602
Main Authors: Costello, Kevin, Stefański, Bogdan
Format: Article
Language:English
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Boundary conditions
Field theory
Field theory (physics)
Holography
Quantum theory
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description 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. κ symmetry arises as a certain class of singular gauge transformations, while the world-sheet 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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source American Physical Society:Jisc Collections:APS Read and Publish 2023-2025 (reading list)
subjects Boundary conditions
Field theory
Field theory (physics)
Holography
Quantum theory
title Chern-Simons Origin of Superstring Integrability
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