The Razumov-Stroganov conjecture: Stochastic processes, loops and combinatorics

Details The Razumov-Stroganov conjecture: Stochastic processes, loops and combinatorics The Razumov-Stroganov conjecture: Stochastic processes, loops and combinatorics

2007-02-19

arxiv.org/abs/cond-mat/0702432v1

J. Stat. Mech. (2007) N02001

Physics

Condensed Matter

Statistical Mechanics

6 pages, 4 figures, JSTAT News & Perspectives

Scientific paper

10.1088/1742-5468/2007/02/N02001

A fascinating conjectural connection between statistical mechanics and combinatorics has in the past five years led to the publication of a number of papers in various areas, including stochastic processes, solvable lattice models and supersymmetry. This connection, known as the Razumov-Stroganov conjecture, expresses eigenstates of physical systems in terms of objects known from combinatorics, which is the mathematical theory of counting. This note intends to explain this connection in light of the recent papers by Zinn-Justin and Di Francesco.

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