In this article, we classify the unitarizable highest weight modules over the twisted sector of the super Virasoro algebra.
Dans cet article, on classifie les modules de plus haut poids unitarisables sur la super-algèbre de Virasoro tordue.
@article{AIF_2008__58_3_733_0,
author = {Iohara, Kenji},
title = {Modules de plus haut poids unitarisables sur la super-alg\`ebre de Virasoro $N=2$ tordue},
journal = {Annales de l'Institut Fourier},
volume = {58},
year = {2008},
pages = {733-754},
doi = {10.5802/aif.2367},
zbl = {1174.17021},
mrnumber = {2427508},
language = {fr},
url = {http://dml.mathdoc.fr/item/AIF_2008__58_3_733_0}
}
Iohara, Kenji. Modules de plus haut poids unitarisables sur la super-algèbre de Virasoro $N=2$ tordue. Annales de l'Institut Fourier, Volume 58 (2008) pp. 733-754. doi : 10.5802/aif.2367. http://gdmltest.u-ga.fr/item/AIF_2008__58_3_733_0/
[1] Determinant Formulae and Unitarity for the Superconformal Algebras in Two Dimensions or Exact Results on String Compactification, Phys. Lett. B, Tome 172 (1986), pp. 316-322 | Article | MR 844506 | Zbl 1174.81319
[2] Unitary representations of the Virasoro algebra and a conjecture of Kac, Compos. Math., Tome 67 (1988), pp. 315-342 | Numdam | MR 959215 | Zbl 0661.17022
[3] Conformal Invariance, Unitarity, and Critical Exponents in Two Dimensions, Phys. Rev. Lett., Tome 52 (1984), pp. 1575-1578 | Article | MR 740343
[4] Superconformal Invariance in Two Dimensions and Tricritical Ising Model, Phys. Lett. B, Tome 151 (1985), pp. 37-43 | Article | MR 778509
[5] Unitary Representations of the Virasoro and Super-Virasoro Algebras, Comm. Math. Phys., Tome 103 (1986), pp. 105-119 | Article | MR 826859 | Zbl 0588.17014
[6] Representation theory of super Virasoro algebra : twisted sector, Jour. Funct. Anal., Tome 214 (2004), pp. 450-518 | Article | MR 2083310 | Zbl pre02105320
[7] Infinite dimensional Lie algebras, Cambr. Univ. Press (1991) | MR 1104219 | Zbl 0716.17022
[8] On unitary representations of the Virasoro algebra, Infinite dimensional Lie algebras and their applications, Singapore, World Scientific (1988) | MR 1114998 | Zbl 0748.17025
[9] A new family of algebras underlying the Rogers-Ramanujan identities and generalizations, Proc. Natl. Acad. Sci., USA, Tome 78 (1981), pp. 7254-7258 | Article | MR 638674 | Zbl 0472.17005
[10] A Connection between the Twisted Superconformal and Kac-Moody Algebras, Phys. Lett. B, Tome 195 (1987), pp. 135-138 | Article | MR 910255
[11] Représentations unitaires des super-algèbres de Ramond et de Neveu-Schwartz, Comm. Math. Phys., Tome 121 (1989), pp. 639-657 | Article | MR 990996 | Zbl 0676.17017
[12] Disorder fields in two-dimensional conformal quantum-field theory and extended supersymmetry, Zh. Eksp. Teor. Fiz., Tome 90 (1986), pp. 1553-1566