Integrability for the spectrum of Jordanian AdS/CFT

A bstract Jordanian deformations offer rare integrable realisations of non-AdS holography, whose solvability methods differ from conventional AdS/CFT examples. Here we study the 𝔰𝔩(2, R ) sector of the Jordanian deformed AdS 5 × S 5 string and its weak-coupling spin chain counterpart: the XXX −1/2 model with a non-abelian Jordanian Drinfel’d twist. While the twist breaks the usual highest-weight structure that underlies conventional Bethe ansätze, we show that the complete spectrum remains solvable within the Baxter framework. We argue that the functional form of the TQ -relation is unchanged, yet the structure of the Q -functions is nontrivially modified. This allows us to obtain analytic expressions at arbitrary spin chain length J , which match the deformed string spectrum at the one-loop level and to subleading order in the large- J expansion, despite the severely reduced symmetry. Our results provide nontrivial tests of the Jordanian AdS/CFT correspondence and lay the groundwork for implementing the Separation of Variables program in non-abelian Drinfel’d-twisted models.