Yangians, S-matrices and AdS/CFT
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.
Cite
@article{arxiv.1104.2474,
title = {Yangians, S-matrices and AdS/CFT},
author = {Alessandro Torrielli},
journal= {arXiv preprint arXiv:1104.2474},
year = {2011}
}
Comments
95 pages, pdfLaTeX, 1 figure. This is an author-created, un-copyedited version of an invited topical review accepted for publication in Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. v2: fixed sign in (15), added comment about Jacobi identity in footnote 50