Representation theory of Neveu-Schwarz and Ramond algebras II: Fock modules
Annales de l'Institut Fourier, Volume 53 (2003) no. 6, p. 1755-1818

In this article, we study the structure of Fock modules over N=1 super Virasoro algebras. As an application, we construct Bechi-Rouet–Stora–Tyutin type resolutions for N=1 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 N=1. Comme application, nous démontrons l’existence de complexes d’un type de Felder pour les modèles super-minimaux N=1 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.

DOI : https://doi.org/10.5802/aif.1992
Classification:  17B10,  17B68
Keywords: Neveu-Schwarz and Ramond algebras, Fock modules, Jantzen filtration, Felder-type complex
@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},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {53},
     number = {6},
     year = {2003},
     pages = {1755-1818},
     doi = {10.5802/aif.1992},
     zbl = {1065.17013},
     mrnumber = {2038780},
     language = {en},
     url = {http://www.numdam.org/item/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/item/AIF_2003__53_6_1755_0/

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