169 citations · 1.3k across the 50 of their papers we have counts for
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Integrable supersymmetric chain without particle conservation
Jan de Gier, Gyorgy Z. Feher, Bernard Nienhuis +1
We introduce a new integrable supersymmetric lattice chain which violates fermion conservation and exhibits fermion-hole symmetry. The model displays exponential degeneracy in ever…
A summation formula for Macdonald polynomials
Jan de Gier, Michael Wheeler
We derive an explicit sum formula for symmetric Macdonald polynomials. Our expression contains multiple sums over the symmetric group and uses the action of Hecke generators on the…
Matrix product formula for Macdonald polynomials
Luigi Cantini, Jan de Gier, Michael Wheeler
We derive a matrix product formula for symmetric Macdonald polynomials. Our results are obtained by constructing polynomial solutions of deformed Knizhnik--Zamolodchikov equations,…