Factorizations of symmetric Macdonald polynomials
classification
🧮 math-ph
math.COmath.MPmath.QAmath.RT
keywords
macdonaldpolynomialsprovebernevigcalledconjectureconsequencecontext
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We prove many factorization formulas for highest weight Macdonald polynomials indexed by particular partitions called quasistaircases. As a consequence we prove a conjecture of Bernevig and Haldane stated in the context of the fractional quantum Hall theory.
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