City Research Online

Abstract

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.

Publication Type:	Article
Additional Information:	This article is distributed under the terms of the Creative Commons Attribution License (CC-BY4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Publisher Keywords:	Lattice Integrable Models, AdS-CFT Correspondence, Bethe Ansatz, Sigma Models
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Departments:	School of Science & Technology School of Science & Technology > Department of Mathematics
SWORD Depositor:	Symplectic Administrator

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