• DOI:10.1007/s00029-017-0328-4
Corpus ID: 119627285

Affine Macdonald conjectures and special values of Felder–Varchenko functions

@article{Rains2016AffineMC,
  title={Affine Macdonald conjectures and special values of Felder–Varchenko functions},
  author={E. Rains and Y. Sun and A. Varchenko},
  journal={Selecta Mathematica},
  year={2016},
  volume={24},
  pages={1549-1591}
}

E. Rains, Y. Sun, A. Varchenko

Published 2016

Mathematics, Physics

Selecta Mathematica

We refine the statement of the denominator and evaluation conjectures for affine Macdonald polynomials proposed by Etingof–Kirillov Jr. (Duke Math J 78(2):229–256, 1995) and prove the first non-trivial cases of these conjectures. Our results provide a q-deformation of the computation of genus 1 conformal blocks via elliptic Selberg integrals by Felder–Stevens–Varchenko (Math Res Lett 10(5–6):671–684, 2003). They allow us to give precise formulations for the affine Macdonald conjectures in the… CONTINUE READING

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