TY - JOUR

T1 - One-Dimensional vertex models associated with a class of Yangian invariant Haldane-Shastry like spin chains

AU - Basu-Mallick, Bireswar

AU - Bondyopadhaya, Nilanjan

AU - Hikami, Kazuhiro

N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.

PY - 2010

Y1 - 2010

N2 - We define a class of Y (sl(m{pipe}n)) Yangian invariant Haldane-Shastry (HS) like spin chains, by assuming that their partition functions can be written in a particular form in terms of the super Schur polynomials. Using some properties of the super Schur polynomials, we show that the partition functions of this class of spin chains are equivalent to the partition functions of a class of one-dimensional vertex models with appropriately defined energy functions. We also establish a boson-fermion duality relation for the partition functions of this class of supersymmetric HS like spin chains by using their correspondence with onedimensional vertex models.

AB - We define a class of Y (sl(m{pipe}n)) Yangian invariant Haldane-Shastry (HS) like spin chains, by assuming that their partition functions can be written in a particular form in terms of the super Schur polynomials. Using some properties of the super Schur polynomials, we show that the partition functions of this class of spin chains are equivalent to the partition functions of a class of one-dimensional vertex models with appropriately defined energy functions. We also establish a boson-fermion duality relation for the partition functions of this class of supersymmetric HS like spin chains by using their correspondence with onedimensional vertex models.

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U2 - 10.3842/SIGMA.2010.091

DO - 10.3842/SIGMA.2010.091

M3 - Article

AN - SCOPUS:84896064199

SN - 1815-0659

VL - 6

JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

M1 - 091

ER -