Traces of Intertwiners for Quantum Affine $${\mathfrak{sl}}_2$$sl2 and Felder–Varchenko Functions

@article{Sun2016TracesOI,
  title={Traces of Intertwiners for Quantum Affine \$\$\{\mathfrak\{sl\}\}\_2\$\$sl2 and Felder–Varchenko Functions},
  author={Yi Sui Sun},
  journal={Communications in Mathematical Physics},
  year={2016},
  volume={347},
  pages={573-653}
}
  • Y. Sun
  • Published 17 August 2015
  • Mathematics
  • Communications in Mathematical Physics
AbstractWe show that the traces of $${U_q({\widehat{\mathfrak{sl}}}_2)}$$Uq(sl^2)-intertwiners of [ESV02] valued in the three-dimensional evaluation representation converge in a certain region of parameters and give a representation-theoretic construction of Felder–Varchenko’s hypergeometric solutions to the q-KZB heat equation given in [FV02]. This gives the first proof that such a trace function converges and resolves the first case of the Etingof–Varchenko conjecture of [EV00]. As… 
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