Unitarizable highest weight modules over the twisted sector of the super Virasoro algebra
Kenji Iohara[1]
- [1] Université de Lyon Institut Camille Jordan UMR 5208 CNRS 43 boulevard du 11 novembre 1918 69622 Villeurbanne Cedex (France)
Annales de l’institut Fourier (2008)
- Volume: 58, Issue: 3, page 733-754
- ISSN: 0373-0956
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topIohara, Kenji. "Modules de plus haut poids unitarisables sur la super-algèbre de Virasoro $N=2$ tordue." Annales de l’institut Fourier 58.3 (2008): 733-754. <http://eudml.org/doc/10332>.
@article{Iohara2008,
abstract = {Dans cet article, on classifie les modules de plus haut poids unitarisables sur la super-algèbre de Virasoro $N=2$ tordue.},
affiliation = {Université de Lyon Institut Camille Jordan UMR 5208 CNRS 43 boulevard du 11 novembre 1918 69622 Villeurbanne Cedex (France)},
author = {Iohara, Kenji},
journal = {Annales de l’institut Fourier},
keywords = {The twisted sector of the $N=2$ Super Virasoro algebra; Unitarizable modules; Parafermion},
language = {fre},
number = {3},
pages = {733-754},
publisher = {Association des Annales de l’institut Fourier},
title = {Modules de plus haut poids unitarisables sur la super-algèbre de Virasoro $N=2$ tordue},
url = {http://eudml.org/doc/10332},
volume = {58},
year = {2008},
}
TY - JOUR
AU - Iohara, Kenji
TI - Modules de plus haut poids unitarisables sur la super-algèbre de Virasoro $N=2$ tordue
JO - Annales de l’institut Fourier
PY - 2008
PB - Association des Annales de l’institut Fourier
VL - 58
IS - 3
SP - 733
EP - 754
AB - Dans cet article, on classifie les modules de plus haut poids unitarisables sur la super-algèbre de Virasoro $N=2$ tordue.
LA - fre
KW - The twisted sector of the $N=2$ Super Virasoro algebra; Unitarizable modules; Parafermion
UR - http://eudml.org/doc/10332
ER -
References
top- W. Boucher, D. Friedan, A. Kent, Determinant Formulae and Unitarity for the Superconformal Algebras in Two Dimensions or Exact Results on String Compactification, Phys. Lett. B 172 (1986), 316-322 Zbl1174.81319MR844506
- V. Chari, A. Pressley, Unitary representations of the Virasoro algebra and a conjecture of Kac, Compos. Math. 67 (1988), 315-342 Zbl0661.17022MR959215
- D. Friedan, Z. Qiu, S. Shenker, Conformal Invariance, Unitarity, and Critical Exponents in Two Dimensions, Phys. Rev. Lett. 52 (1984), 1575-1578 MR740343
- D. Friedan, Z. Qiu, S. Shenker, Superconformal Invariance in Two Dimensions and Tricritical Ising Model, Phys. Lett. B 151 (1985), 37-43 MR778509
- P. Goddard, A. Kent, D. Olive, Unitary Representations of the Virasoro and Super-Virasoro Algebras, Comm. Math. Phys. 103 (1986), 105-119 Zbl0588.17014MR826859
- K. Iohara, Y. Koga, Representation theory of super Virasoro algebra : twisted sector, Jour. Funct. Anal. 214 (2004), 450-518 Zbl1155.17309MR2083310
- V. G. Kac, Infinite dimensional Lie algebras, (1991), Cambr. Univ. Press Zbl0716.17022MR1104219
- R. P. Langlands, On unitary representations of the Virasoro algebra, Infinite dimensional Lie algebras and their applications (1988), Singapore, World Scientific Zbl0748.17025MR1114998
- J. Lepowsky, R. L. Wilson, A new family of algebras underlying the Rogers-Ramanujan identities and generalizations, Proc. Natl. Acad. Sci., USA 78 (1981), 7254-7258 Zbl0472.17005MR638674
- V. Rittenberg, A. Schwimmer, A Connection between the Twisted Superconformal and Kac-Moody Algebras, Phys. Lett. B 195 (1987), 135-138 MR910255
- F. Sauvageot, Représentations unitaires des super-algèbres de Ramond et de Neveu-Schwartz, Comm. Math. Phys. 121 (1989), 639-657 Zbl0676.17017MR990996
- A. B. Zamolodchikov, V. A. Fateev, Disorder fields in two-dimensional conformal quantum-field theory and extended supersymmetry, Zh. Eksp. Teor. Fiz. 90 (1986), 1553-1566
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