Secret Symmetries in AdS/CFT

Marius de Leeuw, Takuya Matsumoto, Sanefumi Moriyama, Vidas Regelskis, Alessandro Torriell

Abstract

We discuss special quantum group (secret) symmetries of the integrable system associated to the AdS/CFT correspondence. These symmetries have by now been observed in a variety of forms, including the spectral problem, the boundary scattering problem, n-point amplitudes, the pure-spinor formulation and quantum affine deformations. Comments: 20 pages, pdfLaTeX; Submitted to the Proceedings of the Nordita program `Exact Results in Gauge-String Dualities'; Based on the talk presented by A.T., Nordita, 15 February 2012

Keywords: Yangian algebra, Quantum affine algebra, AdS/CFT, Lie superalgebra.