Planar Para Algebras, Reflection Positivity

@article{Jaffe2017PlanarPA,
  title={Planar Para Algebras, Reflection Positivity},
  author={Arthur Jaffe and Zhengwei Liu},
  journal={Communications in Mathematical Physics},
  year={2017},
  volume={352},
  pages={95-133}
}
  • Arthur Jaffe, Zhengwei Liu
  • Published 2017
  • Mathematics, Physics
  • We define a planar para algebra, which arises naturally from combining planar algebras with the idea of $${\mathbb{Z}_{N}}$$ZN para symmetry in physics. A subfactor planar para algebra is a Hilbert space representation of planar tangles with parafermionic defects that are invariant under para isotopy. For each $${\mathbb{Z}_{N}}$$ZN, we construct a family of subfactor planar para algebras that play the role of Temperley–Lieb–Jones planar algebras. The first example in this family is the… CONTINUE READING

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