Superconformal nets and noncommutative geometry

  title={Superconformal nets and noncommutative geometry},
  author={Sebastiano Carpi and Robin Hillier and Roberto Longo},
  journal={arXiv: Operator Algebras},
This paper provides a further step in our program of studying superconformal nets over S^1 from the point of view of noncommutative geometry. For any such net A and any family Delta of localized endomorphisms of the even part A^gamma of A, we define the locally convex differentiable algebra A_Delta with respect to a natural Dirac operator coming from supersymmetry. Having determined its structure and properties, we study the family of spectral triples and JLO entire cyclic cocycles associated… 
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