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 θ-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 θ-summable generalised spectral triples where there is no Dirac operator but only a superderivation. © Springer-Verlag 2010.
CITATION STYLE
Carpi, S., Hillier, R., Kawahigashi, Y., & Longo, R. (2010). Spectral triples and the super-Virasoro algebra. Communications in Mathematical Physics, 295(1), 71–97. https://doi.org/10.1007/s00220-009-0982-2
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