Nonsymmetric Macdonald polynomials, Demazure modules and PBW filtration

Evgeny Feigin, Ievgen Makedonskyi

The Cherednik-Orr conjecture expresses the $t\to \infty$ limit of the nonsymmetric Macdonald polynomials in terms of the PBW twisted characters of the affine level one Demazure modu…