The structure of pre-Verma modules over the N=1 Ramond algebra

被引：5
|
作者：
Iohara, Kenji [1 ]
Koga, Yoshiyuki
机构：
[1] Kobe Univ, Fac Sci, Dept Math, Kobe, Hyogo 6578501, Japan
[2] Univ Fukui, Fac Engn, Dept Math, Fukui 9108507, Japan
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2006年 / 78卷 / 01期
基金：
日本学术振兴会;
关键词：
N=1 super Virasoro algebra; Ramond algebra; Verma module; the Jantzen filtration;
D O I：
10.1007/s11005-006-0101-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this note, we determine the structure of the pre-Verma modules N(z, 1/24 z) over the N =1 Ramond algebra. The results of this note together with the results obtained in Iohara and Koga [Adv Math 178:1-65, 2003] completely determine the structure of Verma modules over the N =1 super Virasoro algebra both in Neveu Schwarz and Ramond sectors.
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页码：89 / 96
页数：8
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