Yangians, S-matrices and AdS/CFT

Details Yangians, S-matrices and AdS/CFT Yangians, S-matrices and AdS/CFT

2011-04-13

arxiv.org/abs/1104.2474v2

J.Phys.A44:263001,2011

Physics

High Energy Physics

High Energy Physics - Theory

95 pages, pdfLaTeX, 1 figure. This is an author-created, un-copyedited version of an invited topical review accepted for publi

Scientific paper

10.1088/1751-8113/44/26/263001

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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