Secret Symmetries in AdS/CFT

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.

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

References in corpus (23)

• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Magnon Bound States and the AdS/CFT Correspondence
• Quantum Deformations of the One-Dimensional Hubbard Model
• On the Hopf algebra structure of the AdS/CFT S-matrix
• The S-matrix of String Bound States
• q-Deformation of the AdS5 x S5 Superstring S-matrix and its Relativistic Limit
• The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure
• Gauss Decomposition of the Yangian Y(gl_{m|n})
• Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
• Classical r-matrix of the su(2|2) SYM spin-chain
• A Yangian Double for the AdS/CFT Classical r-matrix
• Bonus Yangian Symmetry for the Planar S-Matrix of N=4 Super Yang-Mills
• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
• Drinfeld second realization of the quantum affine superalgebras of $D^{(1)}(2,1;x)$ via the Weyl groupoid
• Yangian symmetry of the Y=0 maximal giant graviton
• Perturbative study of the transfer matrix on the string worldsheet in AdS(5)xS(5)
• Tensor products of psl(2|2) representations
• The Bound State S-matrix of the Deformed Hubbard Chain
• Weakly coupled N=4 Super Yang-Mills and N=6 Chern-Simons theories from u(2|2) Yangian symmetry
• Serre Relation and Higher Grade Generators of the AdS/CFT Yangian Symmetry
• Integrable achiral D5-brane reflections and asymptotic Bethe equations
• Note on Centrally Extended su(2/2) and Serre Relations

Cited by in corpus (10)

• Lectures on Yangian Symmetry
• Secret Symmetries of Type IIB Superstring Theory on AdS3 x S3 x M4
• Bound States of the q-Deformed AdS5 x S5 Superstring S-matrix
• Yangian of AdS3/CFT2 and its deformation
• The S-matrix algebra of the AdS2 X S2 superstring
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• Yangian Symmetry for the Action of Planar N=4 Super Yang-Mills and N=6 Super Chern-Simons Theories
• Bonus Symmetry for Super Wilson Loops
• $q$-Poincaré invariance of the $Ad{S}_3/CF{T}_2$ $R$-matrix
• Integrable boundaries in AdS/CFT: revisiting the Z=0 giant graviton and D7-brane