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Abstract: We construct infinite dimensional spectral triples associated withrepresentations of the super-Virasoro algebra. In particular the irreducible,unitary positive energy representation of the Ramond algebra with centralcharge c and minimal lowest weight h=c-24 is graded and gives rise to a net ofeven theta-summable spectral triples with non-zero Fredholm index. Theirreducible unitary positive energy representations of the Neveu-Schwarzalgebra give rise to nets of even theta-summable generalised spectral tripleswhere there is no Dirac operator but only a superderivation.



Author: Sebastiano Carpi, Robin Hillier, Yasuyuki Kawahigashi, Roberto Longo

Source: https://arxiv.org/



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