Fusion, mass, and representation theory of the Yangian algebra

Details Fusion, mass, and representation theory of the Yangian algebra Fusion, mass, and representation theory of the Yangian algebra

1994-05-31

arxiv.org/abs/hep-th/9405200v2

Nucl.Phys. B439 (1995) 441-460

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 1 ps figure; psbox (included),harvmac, (minor revision, but replacement recommended) HUTP-94/A010

Scientific paper

10.1016/0550-3213(94)00458-Q

Based on the formulation of Drinfel'd, Chari, and Pressley, a technique to analyze the structure of tensor products of the Yangian algebra representations is presented. We then apply the results to the $S$-matrix theory of the $G\tensor G$-invariant nonlinear $\sigma$-model ($G$-principal chiral model) by Ogievetsky, Reshetikhin, and Wiegmann. We show how the physical data such as mass formula, fusion angle, and the spins of integrals of motion can be extracted from the Yangian highest weight representations.

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