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The Algebraic Curve of 1-loop Planar N=4 SYM

Sakura Schafer-Nameki
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Abstract

The algebraic curve for the psu (2,2|4) quantum spin chain is determined from the thermodynamic limit of the algebraic Bethe ansatz. The Hamiltonian of this spin chain has been identified with the planar 1-loop dilatation operator of N=4 SYM. In the dual AdS_5 x S^5 string theory, various properties of the data defining the curve for the gauge theory are compared to the ones obtained from semiclassical spinning-string configurations, in particular for the case of strings on AdS_5 x S^1 and the su(2,2) spin chain agreement of the curves is shown.

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Sakura Schafer-Nameki. 2005-02-22. The Algebraic Curve of 1-loop Planar N=4 SYM. https://doi.org/10.1016/j.nuclphysb.2005.02.034

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