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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1088/1126-6708/2008/12/025

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.

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