# Superconformal nets and noncommutative geometry

@article{Carpi2013SuperconformalNA,
title={Superconformal nets and noncommutative geometry},
author={Sebastiano Carpi and Robin Hillier and Roberto Longo},
journal={arXiv: Operator Algebras},
year={2013}
}
• Published 15 April 2013
• Mathematics
• 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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