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  The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2|2) Symmetry

Beisert, N. (2007). The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2|2) Symmetry. Journal of Statistical Mechanics: Theory and Experiment, P01017.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4906-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4909-F
Genre: Journal Article

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 Creators:
Beisert, Niklas1, Author              
Affiliations:
1Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24016              

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 Abstract: We investigate the integrable structure of spin chain models with centrally extended su(2|2) and psu(2,2|4) symmetry. These chains have their origin in the planar AdS/CFT correspondence, but they also contain the one-dimensional Hubbard model as a special case. We begin with an overview of the representation theory of centrally extended su(2|2). These results are applied in the construction and investigation of an interesting S-matrix with su(2|2) symmetry. In particular, they enable a remarkably simple proof of the Yang-Baxter relation. We also show the equivalence of the S-matrix to Shastry{}'s R-matrix and thus uncover a hidden supersymmetry in the integrable structure of the Hubbard model. We then construct eigenvalues of the corresponding transfer matrix in order to formulate an analytic Bethe ansatz. Finally, the form of transfer matrix eigenvalues for models with psu(2,2|4) symmetry is sketched.

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 Dates: 2007-01
 Publication Status: Published in print
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 Identifiers: eDoc: 314787
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Title: Journal of Statistical Mechanics: Theory and Experiment
Source Genre: Journal
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Publ. Info: Bristol, England : Institute of Physics Publishing
Pages: - Volume / Issue: - Sequence Number: P01017 Start / End Page: - Identifier: Other: 111076098244006
Other: 1742-5468