We construct infinite dimensional spectral triples associated
with representations of the super-Virasoro algebra. In particular the
irreducible, unitary positive energy representation of the Ramond
algebra with central charge c and minimal lowest weight h = c/24 is
graded and gives rise to a net of even $/theta$-summable spectral
triples with non-zero Fredholm index. The irreducible unitary positive
energy representations of the Neveu-Schwarz algebra give rise to nets
of even $/theta$-summable generalised spectral triples where there is
no Dirac operator but only a superderivation.

参考文献:  Y. Kawahigashi,  From operator algebras to superconformal field
theory, J. Math. Phys. 51 (2010), 015209.
arXiv:1003.2925