no. 3
Modules de plus haut poids unitarisables sur la super-algèbre de Virasoro N=2 tordue
Iohara, Kenji1
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, Tome 58 (2008) no. 3, pp. 733-754.

Dans cet article, on classifie les modules de plus haut poids unitarisables sur la super-algèbre de Virasoro N=2 tordue.

In this article, we classify the unitarizable highest weight modules over the twisted sector of the N=2 super Virasoro algebra.

DOI : 10.5802/aif.2367
Classification : 17B10, 17B68
Mot clés : super-algèbre de Virasoro $N=2$ tordue, modules uintarisables, parafermion
Keywords: The twisted sector of the $N=2$ Super Virasoro algebra, Unitarizable modules, Parafermion
Iohara, Kenji 1

1 Université de Lyon Institut Camille Jordan UMR 5208 CNRS 43 boulevard du 11 novembre 1918 69622 Villeurbanne Cedex (France) 
@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},
     pages = {733--754},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {58},
     number = {3},
     year = {2008},
     doi = {10.5802/aif.2367},
     zbl = {1174.17021},
     mrnumber = {2427508},
     language = {fr},
     url = {http://archive.numdam.org/articles/10.5802/aif.2367/}
}
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
SP  - 733
EP  - 754
VL  - 58
IS  - 3
PB  - Association des Annales de l’institut Fourier
UR  - http://archive.numdam.org/articles/10.5802/aif.2367/
DO  - 10.5802/aif.2367
LA  - fr
ID  - AIF_2008__58_3_733_0
ER  - 
%0 Journal Article
%A Iohara, Kenji
%T Modules de plus haut poids unitarisables sur la super-algèbre de Virasoro $N=2$ tordue
%J Annales de l'Institut Fourier
%D 2008
%P 733-754
%V 58
%N 3
%I Association des Annales de l’institut Fourier
%U http://archive.numdam.org/articles/10.5802/aif.2367/
%R 10.5802/aif.2367
%G fr
%F 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, Tome 58 (2008) no. 3, pp. 733-754. doi : 10.5802/aif.2367. http://archive.numdam.org/articles/10.5802/aif.2367/

[1] Boucher, W.; Friedan, D.; Kent, A. Determinant Formulae and Unitarity for the N=2 Superconformal Algebras in Two Dimensions or Exact Results on String Compactification, Phys. Lett. B, Volume 172 (1986), pp. 316-322 | DOI | MR | Zbl

[2] Chari, V.; Pressley, A. Unitary representations of the Virasoro algebra and a conjecture of Kac, Compos. Math., Volume 67 (1988), pp. 315-342 | Numdam | MR | Zbl

[3] Friedan, D.; Qiu, Z.; Shenker, S. Conformal Invariance, Unitarity, and Critical Exponents in Two Dimensions, Phys. Rev. Lett., Volume 52 (1984), pp. 1575-1578 | DOI | MR

[4] Friedan, D.; Qiu, Z.; Shenker, S. Superconformal Invariance in Two Dimensions and Tricritical Ising Model, Phys. Lett. B, Volume 151 (1985), pp. 37-43 | DOI | MR

[5] Goddard, P.; Kent, A.; Olive, D. Unitary Representations of the Virasoro and Super-Virasoro Algebras, Comm. Math. Phys., Volume 103 (1986), pp. 105-119 | DOI | MR | Zbl

[6] Iohara, K.; Koga, Y. Representation theory of N=2 super Virasoro algebra : twisted sector, Jour. Funct. Anal., Volume 214 (2004), pp. 450-518 | DOI | MR

[7] Kac, V. G. Infinite dimensional Lie algebras, Cambr. Univ. Press, 1991 | MR | Zbl

[8] Langlands, R. P.; Kass, S. On unitary representations of the Virasoro algebra, Infinite dimensional Lie algebras and their applications, Singapore, World Scientific (1988) | MR | Zbl

[9] Lepowsky, J.; Wilson, R. L. A new family of algebras underlying the Rogers-Ramanujan identities and generalizations, Proc. Natl. Acad. Sci., USA, Volume 78 (1981), pp. 7254-7258 | DOI | MR | Zbl

[10] Rittenberg, V.; Schwimmer, A. A Connection between the Twisted N=2 Superconformal and SU(2) Kac-Moody Algebras, Phys. Lett. B, Volume 195 (1987), pp. 135-138 | DOI | MR

[11] Sauvageot, F. Représentations unitaires des super-algèbres de Ramond et de Neveu-Schwartz, Comm. Math. Phys., Volume 121 (1989), pp. 639-657 | DOI | MR | Zbl

[12] Zamolodchikov, A. B.; Fateev, V. A. Disorder fields in two-dimensional conformal quantum-field theory and N=2 extended supersymmetry, Zh. Eksp. Teor. Fiz., Volume 90 (1986), pp. 1553-1566

Cité par Sources :