Yangians, S-matrices and AdS/CFT

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 integr...

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Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 44; no. 26; pp. 263001 - 55
Main Author Torrielli, Alessandro
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.07.2011
IOP
Subjects
Exact sciences and technology
Group theory
Integral calculus
Mathematical analysis
Physics
Spectra
Stores
String theory
Supersymmetry
Symmetry
String theory
Quantum group
Supersymmetry
Field theories
Integrability
S matrix
Infinite group
Infinite dimension
Integrable systems
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ISSN1751-8121
1751-8113
1751-8121
DOI10.1088/1751-8113/44/26/263001

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Summary: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 5 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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ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/44/26/263001