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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