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The SU(2) Long Range Bethe Ansatz and Continuous Integrable Systems

Nelia Mann
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Abstract

We explore the relationship between the SU(2) sector of a general integrable field theory and the all-loop guess for the anomalous dimensions of SU(2) operators in N=4 super Yang-Mills theory. We demonstrate that the SU(2) structure of a nested Bethe ansatz alone reproduces much of the all-loop guess without depending on the details of the particular field theory. We speculate on the implications of this for strings in AdS_5 X S^5 being described by the multi-particle states of an integrable worldsheet theory, and relate the techniques here to the known relationship between the Hubbard model and the all-loop guess.

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Nelia Mann. 2006-05-26. The SU(2) Long Range Bethe Ansatz and Continuous Integrable Systems. https://arxiv.org/abs/hep-th/0605028

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