one-dimensional vertex models associated with a class of yangian invariant haldane-shastry like spin chains

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ID: 164642
2010
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Abstract
We define a class of Y(sl_{(m|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 one-dimensional vertex models.
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hikami2010symmetry,one-dimensional Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Kazuhiro Hikami;Nilanjan Bondyopadhaya;Bireswar Basu-Mallick
Journal Therapeutic drug monitoring
Year 2010
DOI
DOI not found
URL
http://dx.doi.org/10.3842/SIGMA.2010.091
Keywords Keywords not found

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