English

Finding Rigged Configurations From Paths

Quantum Algebra 2009-04-03 v1 Mathematical Physics math.MP

Abstract

We review reformulation of the map from tensor product of crystals to the rigged configurations in terms of the energy function of affine crystals. Especially, we give intuitive picture of the inverse scattering formalism for the periodic box-ball systems formulated by Kuniba-Takagi-Takenouchi (arXiv:math/0602481v2).

Keywords

Cite

@article{arxiv.0804.2511,
  title  = {Finding Rigged Configurations From Paths},
  author = {Reiho Sakamoto},
  journal= {arXiv preprint arXiv:0804.2511},
  year   = {2009}
}

Comments

16 pages, accepted version for proceedings of ``Expansion of Combinatorial Representation Theory" (RIMS, Kyoto University, October 2007)

R2 v1 2026-06-21T10:31:23.665Z