Determinant form of correlators in high rank integrable spin chains via separation of variables

Nikolay Gromov, Fedor Levkovich-Maslyuk*, Paul Ryan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)
54 Downloads (Pure)


In this paper we take further steps towards developing the separation of variables program for integrable spin chains with gl(N) symmetry. By finding, for the first time, the matrix elements of the SoV measure explicitly we were able to compute correlation functions and wave function overlaps in a simple determinant form. In particular, we show how an overlap between on-shell and off-shell algebraic Bethe states can be written as a determinant. Another result, particularly useful for AdS/CFT applications, is an overlap between two Bethe states with different twists, which also takes a determinant form in our approach. Our results also extend our previous works in collaboration with A. Cavaglia and D. Volin to general values of the spin, including the SoV construction in the higher-rank non-compact case for the first time.

Original languageEnglish
Article number169
JournalJournal of High Energy Physics
Issue number5
Early online date19 May 2021
Publication statusPublished - May 2021


  • Bethe Ansatz
  • Lattice Integrable Models


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