Dans cet article, on classifie les modules de plus haut poids unitarisables sur la super-algèbre de Virasoro tordue.
In this article, we classify the unitarizable highest weight modules over the twisted sector of the super Virasoro algebra.
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
@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}, mrnumber = {2427508}, zbl = {1174.17021}, language = {fr}, url = {https://aif.centre-mersenne.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 - https://aif.centre-mersenne.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 https://aif.centre-mersenne.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. https://aif.centre-mersenne.org/articles/10.5802/aif.2367/
[1] Determinant Formulae and Unitarity for the Superconformal Algebras in Two Dimensions or Exact Results on String Compactification, Phys. Lett. B, Volume 172 (1986), pp. 316-322 | DOI | MR | Zbl
[2] Unitary representations of the Virasoro algebra and a conjecture of Kac, Compos. Math., Volume 67 (1988), pp. 315-342 | Numdam | MR | Zbl
[3] Conformal Invariance, Unitarity, and Critical Exponents in Two Dimensions, Phys. Rev. Lett., Volume 52 (1984), pp. 1575-1578 | DOI | MR
[4] Superconformal Invariance in Two Dimensions and Tricritical Ising Model, Phys. Lett. B, Volume 151 (1985), pp. 37-43 | DOI | MR
[5] Unitary Representations of the Virasoro and Super-Virasoro Algebras, Comm. Math. Phys., Volume 103 (1986), pp. 105-119 | DOI | MR | Zbl
[6] Representation theory of super Virasoro algebra : twisted sector, Jour. Funct. Anal., Volume 214 (2004), pp. 450-518 | DOI | MR
[7] Infinite dimensional Lie algebras, Cambr. Univ. Press, 1991 | MR | Zbl
[8] On unitary representations of the Virasoro algebra, Infinite dimensional Lie algebras and their applications (1988) | MR | Zbl
[9] 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] A Connection between the Twisted Superconformal and Kac-Moody Algebras, Phys. Lett. B, Volume 195 (1987), pp. 135-138 | DOI | MR
[11] Représentations unitaires des super-algèbres de Ramond et de Neveu-Schwartz, Comm. Math. Phys., Volume 121 (1989), pp. 639-657 | DOI | MR | Zbl
[12] Disorder fields in two-dimensional conformal quantum-field theory and extended supersymmetry, Zh. Eksp. Teor. Fiz., Volume 90 (1986), pp. 1553-1566
Cité par Sources :