This work is concerned with combinatorial aspects arising in the theory of exactly solvable
models and representation theory. Recent developments in integrable models reveal an unexpected
link between representation theory and statistical mechanics through combinatorics. For example
Young tableaux which describe the basis of irreducible representations appear in the Bethe
Ansatz method in quantum spin chains as labels for the eigenstates for Hamiltonians. Taking
into account the various criss-crossing among mathematical subject Physical Combinatorics
presents new results and exciting ideas from three viewpoints representation theory
integrable models and combinatorics. This volume will be of interest to mathematical
physicists and graduate students in the the above-mentioned fields. Contributors to the volume:
T.H. Baker O. Foda G. Hatayama Y. Komori A. Kuniba T. Nakanishi M. Okado A. Schilling
J. Suzuki T. Takagi D. Uglov O. Warnaar T.A. Welsh A. Zabrodin