Whittaker modules over the N=2 Neveu-Schwarz algebra

被引：0

作者：

Lan, Chao ^{[1
]}

Liu, Dong ^{[2
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China

[2] Huzhou Univ, Dept Math, Huzhou 313000, Zhejiang, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年

关键词：

N=2 Neveu-Schwarz algebra; Whittaker modules; simple module; HIGHEST WEIGHT MODULES; SUPERCONFORMAL ALGEBRAS; STRINGS;

D O I：

10.1142/S0219498825503724

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study Whittaker modules over the N = 2 Neveu-Schwarz algebra g. We first classify all simple finite-dimensional modules over the positive part of g. Motivated by this classification, we define Whittaker modules and investigate their simplicity. Finally, we also study the simplicity of the quotient modules of the universal Whittaker module if it is not simple.

引用

页数：20

共 50 条

[21] Representation theory of Neveu-Schwarz and Ramond algebras II : Fock modules
Iohara, K
Koga, Y
ANNALES DE L INSTITUT FOURIER, 2003, 53 (06) : 1755 - +
[22] N-REGGEON VERTEX FOR THE NEVEU-SCHWARZ STRING
CLARIZIA, A
PEZZELLA, F
NUCLEAR PHYSICS B, 1988, 298 (03) : 636 - 652
[23] SPECTRUM-GENERATING ALGEBRA AND NO-GHOST THEOREM FOR NEVEU-SCHWARZ MODEL
BROWER, RC
FRIEDMAN, KA
PHYSICAL REVIEW D, 1973, 7 (02): : 535 - 539
[24] Elliptic recurrence representation of the N=1 Neveu-Schwarz blocks
Hadasz, Leszek
Jaskolski, Zbigniew
Suchanek, Paulina
NUCLEAR PHYSICS B, 2008, 798 (03) : 363 - 378
[25] NEW LIGHT ON NEVEU-SCHWARZ MODEL
FAIRLIE, DB
MARTIN, D
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1973, A 18 (02): : 373 - 383
[26] FUSION AND THE NEVEU-SCHWARZ SINGULAR VECTORS
BENOIT, L
SAINTAUBIN, Y
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1994, 9 (04): : 547 - 566
[27] Extensions of the Neveu-Schwarz Lie Superalgebra
Marcel, P
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1999, 207 (02) : 291 - 306
[28] SHEAVES OF THE VIRASORO AND NEVEU-SCHWARZ ALGEBRAS
BEILINSON, AA
MANIN, YI
SCHECHTMAN, VV
LECTURE NOTES IN MATHEMATICS, 1987, 1289 : 52 - 66
[29] Classification of indecomposable modules of the intermediate series over the twisted N=1 Schrodinger-Neveu-Schwarz algebra
Fa, Huanxia
Han, Jianzhi
Li, Junbo
COMMUNICATIONS IN ALGEBRA, 2017, 45 (08) : 3310 - 3319
[30] 2 NEW REGGE TRAJECTORIES IN NEVEU-SCHWARZ MODEL
BARRATT, C
NUCLEAR PHYSICS B, 1977, 120 (01) : 147 - 155

← 1 2 3 4 5 →