Supersymmetric extension of qKZ-Ruijsenaars correspondence
Sign Up to like & getrecommendations! Published in 2019 at "Nuclear Physics B"
DOI: 10.1016/j.nuclphysb.2018.12.014
Abstract: Abstract We describe the correspondence of the Matsuo–Cherednik type between the quantum n-body Ruijsenaars–Schneider model and the quantum Knizhnik–Zamolodchikov equations related to supergroup G L ( N | M ) . The spectrum of the… read more here.
Keywords: extension qkz; supersymmetric extension; correspondence; ruijsenaars correspondence ... See more keywords
Toda lattice hierarchy and trigonometric Ruijsenaars–Schneider hierarchy
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab520c
Abstract: We consider solutions of the 2D Toda lattice hierarchy which are trigonometric functions of the ``zeroth'' time $t_0=x$. It is known that their poles move as particles of the trigonometric Ruijsenaars-Schneider model. We extend this… read more here.
Keywords: toda lattice; lattice hierarchy; hierarchy trigonometric; ruijsenaars schneider ... See more keywords
Cherednik operators and Ruijsenaars-Schneider model at infinity
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DOI: 10.1093/imrn/rnx176
Abstract: Heckman introduced N operators on the space of polynomials in N variables, such that these operators form a covariant set relative to permutations of the operators and variables, and such that Jack symmetric polynomials are… read more here.
Keywords: cherednik operators; model infinity; ruijsenaars schneider; schneider model ... See more keywords