In this article, we study the structure of Fock modules over super Virasoro algebras. As an application, we construct Bechi-Rouet–Stora–Tyutin type resolutions for super minimal models and their descendants.
En généralisant la filtration de Jantzen, à partir des idées de B. Feigin et D. Fuchs dans “Representations of the Virasoro algebra" paru aux Adv. Stud. Contemp. Math., nous déterminons complètement la structure des modules de Fock pour les super-algèbres de Virasoro . Comme application, nous démontrons l’existence de complexes d’un type de Felder pour les modèles super-minimaux et leurs descendants. Cet article est une version détaillée de l’article de “Résolution de type Bechi–Rouet–Stora–Tyutin pour les super-algèbres de Virasoro" paru aux CRAS en 2000.
Keywords: Neveu-Schwarz and Ramond algebras, Fock modules, Jantzen filtration, Felder-type complex
Mot clés : algèbres de Neveu-Schwarz et de Ramond, modules de Fock, filtration de Jantzen, complexe d'un type de Felder
@article{AIF_2003__53_6_1755_0, author = {Iohara, Kenji and Koga, Yoshiyuki}, title = {Representation theory of {Neveu-Schwarz} and {Ramond} algebras {II:} {Fock} modules}, journal = {Annales de l'Institut Fourier}, pages = {1755--1818}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {53}, number = {6}, year = {2003}, doi = {10.5802/aif.1992}, mrnumber = {2038780}, zbl = {1065.17013}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.1992/} }
TY - JOUR AU - Iohara, Kenji AU - Koga, Yoshiyuki TI - Representation theory of Neveu-Schwarz and Ramond algebras II: Fock modules JO - Annales de l'Institut Fourier PY - 2003 SP - 1755 EP - 1818 VL - 53 IS - 6 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.1992/ DO - 10.5802/aif.1992 LA - en ID - AIF_2003__53_6_1755_0 ER -
%0 Journal Article %A Iohara, Kenji %A Koga, Yoshiyuki %T Representation theory of Neveu-Schwarz and Ramond algebras II: Fock modules %J Annales de l'Institut Fourier %D 2003 %P 1755-1818 %V 53 %N 6 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.1992/ %R 10.5802/aif.1992 %G en %F AIF_2003__53_6_1755_0
Iohara, Kenji; Koga, Yoshiyuki. Representation theory of Neveu-Schwarz and Ramond algebras II: Fock modules. Annales de l'Institut Fourier, Volume 53 (2003) no. 6, pp. 1755-1818. doi : 10.5802/aif.1992. http://www.numdam.org/articles/10.5802/aif.1992/
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