The Quantum Affine Origin of the AdS/CFT Secret Symmetry

Abstract

We find a new quantum affine symmetry of the S-matrix of the one-dimensional Hubbard chain. We show that this symmetry originates from the quantum affine superalgebra U_q(gl(2|2)), and in the rational limit exactly reproduces the secret symmetry of the AdS/CFT worldsheet S-matrix.

22 pages

References in corpus (8)

• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Quantum Deformations of the One-Dimensional Hubbard Model
• On the Hopf algebra structure of the AdS/CFT S-matrix
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• Towards the quantum S-matrix of the Pohlmeyer reduced version of AdS_5 x S^5 superstring theory
• Classical r-matrix of the su(2|2) SYM spin-chain
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Cited by in corpus (4)

• A deformation of quantum affine algebra in squashed WZNW models
• Yangian Symmetry of String Theory on $Ad{S}_3\times S^3\times S^3\times S^1$ with Mixed 3-form Flux
• $q$-Poincaré supersymmetry in $Ad{S}_5/CF{T}_4$
• $q$-Poincaré invariance of the $Ad{S}_3/CF{T}_2$ $R$-matrix