Conformal blocks, Berenstein–Zelevinsky triangles, and group-based models

@article{Kubjas2013ConformalBB,
  title={Conformal blocks, Berenstein–Zelevinsky triangles, and group-based models},
  author={Kaie Kubjas and C. Manon},
  journal={Journal of Algebraic Combinatorics},
  year={2013},
  volume={40},
  pages={861-886}
}
  • Kaie Kubjas, C. Manon
  • Published 2013
  • Mathematics
  • Journal of Algebraic Combinatorics
  • Work of Buczyńska, Wiśniewski, Sturmfels and Xu, and the second author has linked the group-based phylogenetic statistical model associated with the group $$\mathbb {Z}/2\mathbb {Z}$$Z/2Z with the Wess–Zumino–Witten (WZW) model of conformal field theory associated to $$\mathrm {SL}_2(\mathbb {C})$$SL2(C). In this article we explain how this connection can be generalized to establish a relationship between the phylogenetic statistical model for the cyclic group $$\mathbb {Z}/m\mathbb {Z}$$Z/mZ… CONTINUE READING
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