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arXiv:hep-th/9110012

From factorizable S-matrices to conformal invariance

Koberle Roland

Published Oct 1, 1991• 1 citation
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Abstract

Lecture notes on factorizable S-matrices, thermodynamic Bethe Ansatz and integrable perturbations of conformally invariant models; J.A.Swieca Summer School 1991
DOI
10.48550/arxiv.hep-th/9110012

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These notes arose from three lectures presented at the Summer School on Theoretical Physics "Symmetry and Structural Properties of Condensed Matter" held in Myczkowce, Poland, on September 11-18, 2002. We review rigged configurations and the Bethe Ansatz. In the first part, we focus on the algebraic Bethe Ansatz for the spin 1/2 XXX model and explain how rigged configurations label the solutions of the Bethe equations. This yields the bijection between rigged configurations and crystal paths/Young tableaux of Kerov, Kirillov and Reshetikhin. In the second part, we discuss a generalization of this bijection for the symmetry algebra Dn(1)D_n^{(1)}Dn(1)​, based on work in collaboration with Okado and Shimozono.