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...

Full description

Saved in:
Bibliographic Details
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
Subjects:
Boundary conditions
Field theory
Field theory (physics)
Holography
Quantum theory
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.125.121602