Modified Macdonald polynomials and integrability

2018/10/29 by Garbali, Alexandr, Wheeler, Michael · 2 citations
#Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1810.12905

Abstract

We derive combinatorial formulae for the modified Macdonald polynomial H_λ(x;q,t) using coloured paths on a square lattice with quasi-cylindrical boundary conditions. The derivation is based on an integrable model associated to the quantum group of U_q(\widesl_n+1).

Cited by

• Limit shapes for Domain-Wall (colored) vertex models
• The monomial expansions for modified Macdonald polynomials

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