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arxiv: 1606.02945 · v2 · pith:J4AC3RYAnew · submitted 2016-06-09 · ✦ hep-th · cond-mat.str-el· math-ph· math.MP· nlin.SI

An Integrability Primer for the Gauge-Gravity Correspondence: an Introduction

classification ✦ hep-th cond-mat.str-elmath-phmath.MPnlin.SI
keywords ansatzbethecorrespondenceintegrabilityintegrableseriesapplicationarticle
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We introduce a series of articles reviewing various aspects of integrable models relevant to the AdS/CFT correspondence. Topics covered in these reviews are: classical integrability, Yangian symmetry, factorized scattering, the Bethe ansatz, the thermodynamic Bethe ansatz, and integrable structures in (conformal) quantum field theory. In the present article we highlight how these concepts have found application in AdS/CFT, and provide a brief overview of the material contained in this series.

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  1. The classical Yangian symmetry of Auxiliary Field Sigma Models

    hep-th 2026-05 unverdicted novelty 6.0

    Generalizes the BIZZ recursive procedure and provides sufficient conditions under which auxiliary field deformations of integrable sigma models retain classical Yangian symmetry and Maillet bracket structure.