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

Rafael I. Nepomechie; Eric Ragoucy

doi:10.1088/1126-6708/2008/12/025

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

Rafael I. Nepomechie, Eric Ragoucy

Physics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English (US)
Article number	025
Journal	Journal of High Energy Physics
Volume	2008
Issue number	12
DOIs	https://doi.org/10.1088/1126-6708/2008/12/025
State	Published - 2008

Keywords

AdS-CFT correspondence
Bethe Ansatz
Integrable hierarchies

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1088/1126-6708/2008/12/025

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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.",

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AU - Ragoucy, Eric

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AB - 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.

KW - AdS-CFT correspondence

KW - Bethe Ansatz

KW - Integrable hierarchies

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