
TL;DR
This review explores the role of Yangian symmetry in the integrability of the AdS/CFT spectral problem, providing foundational facts and insights for future research in field and string theories.
Contribution
It offers a comprehensive account of Yangian symmetry in AdS/CFT integrability, including basic facts, observations, and proofs accumulated over five years.
Findings
Yangian symmetry underpins integrability in AdS/CFT
Provides a concise anthology of Yangians and integrable systems
Offers insights and proofs for future research in field and string theories
Abstract
This review is meant to be an account of the properties of the infinite-dimensional quantum group (specifically, Yangian) symmetry lying behind the integrability of the AdS/CFT spectral problem. In passing, the chance is taken to give a concise anthology of basic facts concerning Yangians and integrable systems, and to store a series of remarks, observations and proofs the author has collected in a five-year span of research on the subject. We hope this exercise will be useful for future attempts to study Yangians in field and string theories, with or without supersymmetry.
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