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<p>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, <i>R</i>) sector of the Jordanian deformed <i>AdS</i><sub>5</sub> × <i>S</i><sup>5</sup> string and its weak-coupling spin chain counterpart: the XXX<sub>−1/2</sub> 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 <i>TQ</i>-relation is unchanged, yet the structure of the <i>Q</i>-functions is nontrivially modified. This allows us to obtain analytic expressions at arbitrary spin chain length <i>J</i>, which match the deformed string spectrum at the one-loop level and to subleading order in the large-<i>J</i> 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.</p>

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Integrability for the spectrum of Jordanian AdS/CFT

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月3日

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  • Sibylle Driezen,
  • Fedor Levkovich-Maslyuk,
  • Adrien Molines

摘要

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 AdS5 × S5 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.