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

Bireswar Basu-Mallick; Nilanjan Bondyopadhaya; Kazuhiro Hikami

doi:10.3842/SIGMA.2010.091

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

Bireswar Basu-Mallick, Nilanjan Bondyopadhaya, Kazuhiro Hikami

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

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.

Original language	English
Article number	091
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	6
DOIs	https://doi.org/10.3842/SIGMA.2010.091
Publication status	Published - 2010
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Mathematical Physics
Geometry and Topology

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10.3842/SIGMA.2010.091

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

Abstract

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