TY - JOUR
T1 - Supersymmetric Polychronakos spin chain
T2 - Motif, distribution function, and character
AU - Hikami, Kazuhiro
AU - Basu-Mallick, B.
N1 - Funding Information:
The authors would like to thank Y. Komori for communications at the early stages of this work. One of the authors (B.B.M.) thanks the Japan Society for the Promotion of Science for a fellowship (JSPS-P97047) which supported this work.
PY - 2000/2/7
Y1 - 2000/2/7
N2 - Degeneracy patterns and hyper-multiplet structure in the spectrum of the su(m|n) supersymmetric Polychronakos spin chain are studied by use of the "motif". Using the recursion relation of the supersymmetric Rogers-Szegö polynomials which are closely related to the partition function of the N spin chain, we give the representation for the motif in terms of the supersymmetric skew Young diagrams. We also study the distribution function for quasi-particles. The character formulae for N → ∞ are briefly discussed.
AB - Degeneracy patterns and hyper-multiplet structure in the spectrum of the su(m|n) supersymmetric Polychronakos spin chain are studied by use of the "motif". Using the recursion relation of the supersymmetric Rogers-Szegö polynomials which are closely related to the partition function of the N spin chain, we give the representation for the motif in terms of the supersymmetric skew Young diagrams. We also study the distribution function for quasi-particles. The character formulae for N → ∞ are briefly discussed.
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U2 - 10.1016/S0550-3213(99)00585-4
DO - 10.1016/S0550-3213(99)00585-4
M3 - Article
AN - SCOPUS:0034614797
SN - 0550-3213
VL - 566
SP - 511
EP - 528
JO - Nuclear Physics B
JF - Nuclear Physics B
IS - 3
ER -