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Asymptotic Bethe ansatz from string sigma model on S<sup>3sup>×R
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摘要
We derive the asymptotic Bethe ansatz (AFS equations [G. Arutyunov, S. Frolov, M. Staudacher, Bethe ansatz for quantum strings, JHEP 0410 (2004) 016, hep-th/0406256]) for the string on me="mml2">style="text-decoration:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6TVC-4NCSGMD-3&_mathId=mml2&_user=10&_cdi=5531&_rdoc=3&_acct=C000050221&_version=1&_userid=10&md5=e629945521c4b3cf43db4eaf84380cf8" title="Click to view the MathML source">S<sup>3sup>×R sector of me="mml3">style="text-decoration:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6TVC-4NCSGMD-3&_mathId=mml3&_user=10&_cdi=5531&_rdoc=3&_acct=C000050221&_version=1&_userid=10&md5=d04bcb8264f60723d59d1580aed8e180" title="Click to view the MathML source">AdS<sub>5sub>×S<sup>5sup> from the integrable nonhomogeneous dynamical spin chain for the string sigma model proposed in [N. Gromov, V. Kazakov, K. Sakai, P. Vieira, Strings as multi-particle states of quantum sigma-models, hep-th/0603043]. It is clear from the derivation that AFS equations can be viewed only as an effective model describing a certain regime of a more fundamental inhomogeneous spin chain.

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