The Quantum Affine Origin of the AdS/CFT Secret Symmetry
Marius de Leeuw, Vidas Regelskis, Alessandro Torrielli
TL;DR
This paper uncovers a quantum affine symmetry in the Hubbard chain's S-matrix, linking it to the secret symmetry in AdS/CFT, and shows its origin in the quantum affine superalgebra U_q(gl(2|2)).
Contribution
It identifies a new quantum affine symmetry of the Hubbard chain's S-matrix and connects it to the secret symmetry in AdS/CFT through the superalgebra U_q(gl(2|2)).
Findings
Quantum affine symmetry of the Hubbard chain's S-matrix identified.
Symmetry originates from the quantum affine superalgebra U_q(gl(2|2)).
In the rational limit, reproduces the secret symmetry of AdS/CFT.
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.
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