Spectral triples and the super-Virasoro algebra

Carpi, Sebastiano and Hillier, Robin and Kawahigashi, Yasuyuki and Longo, Roberto (2010) Spectral triples and the super-Virasoro algebra. Communications in Mathematical Physics, 295 (1). pp. 71-97. ISSN 0010-3616

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Abstract

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.

Item Type:
Journal Article
Journal or Publication Title:
Communications in Mathematical Physics
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/3100/3109
Subjects:
ID Code:
65217
Deposited By:
Deposited On:
17 Jun 2013 11:17
Refereed?:
Yes
Published?:
Published
Last Modified:
07 Jan 2020 03:52