English

Analytical Bethe ansatz for the open AdS/CFT SU(1|1) spin chain

High Energy Physics - Theory 2009-02-05 v3

Abstract

We prove an inversion identity for the open AdS/CFT SU(1|1) quantum spin chain which is exact for finite size. We use this identity, together with an analytic ansatz, to determine the eigenvalues of the transfer matrix and the corresponding Bethe ansatz equations. We also solve the closed chain by algebraic Bethe ansatz.

Keywords

Cite

@article{arxiv.0810.5015,
  title  = {Analytical Bethe ansatz for the open AdS/CFT SU(1|1) spin chain},
  author = {Rafael I. Nepomechie and Eric Ragoucy},
  journal= {arXiv preprint arXiv:0810.5015},
  year   = {2009}
}

Comments

20 pages; new references added; Explanation on crossing-like relation added

R2 v1 2026-06-21T11:35:40.345Z