Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

**Spectral triples and the super-Virasoro algebra.** / Carpi, Sebastiano; Hillier, Robin; Kawahigashi, Yasuyuki et al.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Carpi, S, Hillier, R, Kawahigashi, Y & Longo, R 2010, 'Spectral triples and the super-Virasoro algebra', *Communications in Mathematical Physics*, vol. 295, no. 1, pp. 71-97. https://doi.org/10.1007/s00220-009-0982-2

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

Carpi S, Hillier R, Kawahigashi Y, Longo R. Spectral triples and the super-Virasoro algebra. Communications in Mathematical Physics. 2010 Apr;295(1):71-97. doi: 10.1007/s00220-009-0982-2

@article{75d1abd3aec446c6a31d8cc02d672758,

title = "Spectral triples and the super-Virasoro algebra",

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.",

author = "Sebastiano Carpi and Robin Hillier and Yasuyuki Kawahigashi and Roberto Longo",

year = "2010",

month = apr,

doi = "10.1007/s00220-009-0982-2",

language = "English",

volume = "295",

pages = "71--97",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Spectral triples and the super-Virasoro algebra

AU - Carpi, Sebastiano

AU - Hillier, Robin

AU - Kawahigashi, Yasuyuki

AU - Longo, Roberto

PY - 2010/4

Y1 - 2010/4

N2 - 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.

AB - 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.

U2 - 10.1007/s00220-009-0982-2

DO - 10.1007/s00220-009-0982-2

M3 - Journal article

VL - 295

SP - 71

EP - 97

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -