Schur-Weyl duality as an instrument of Gauge-String duality
High Energy Physics - Theory
2008-11-26 v2 Representation Theory
Abstract
A class of mathematical dualities have played a central role in mapping states in gauge theory to states in the spacetime string theory dual. This includes the classical Schur-Weyl duality between symmetric groups and Unitary groups, as well as generalisations involving Brauer and Hecke algebras. The physical string dualities involved include examples from the AdS/CFT correspondence as well as the string dual of two-dimensional Yang Mills.
Cite
@article{arxiv.0804.2764,
title = {Schur-Weyl duality as an instrument of Gauge-String duality},
author = {Sanjaye Ramgoolam},
journal= {arXiv preprint arXiv:0804.2764},
year = {2008}
}
Comments
10 pages,talk given at ``Ten years of AdS/CFT,'' Buenos Aires, December 19-21, 2007