Parafermions, Ternary Algebras and Their Associated Superspace

被引：0
作者：
Campoamor-Stursberg, R. [1 ]
de Traubenberg, M. Rausch [2 ]
机构：
[1] IMI UCM, Plaza Ciencias 3, E-28040 Madrid, Spain
[2] IPHC DRS, UDS, CNRS, IN2P3, F-67037 Strasbourg, France
来源：
LIE THEORY AND ITS APPLICATIONS IN PHYSICS | 2010年 / 1243卷
关键词：
ternary extensions of Poincare symmetry; superspace; parafermions; 2D FRACTIONAL SUPERSYMMETRY; CONFORMAL FIELD-THEORY; LIE-ALGEBRAS; IRREDUCIBLE REPRESENTATIONS; POINCARE PARASUPERALGEBRA; ALTERNATIVE STATISTICS; CUBIC SUPERSYMMETRY; SUPERALGEBRAS; FOUNDATIONS; INVARIANCE;
D O I：
10.1063/1.3460167
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
Parafermions of order two are shown to be the fundamental tool to construct ternary superspaces related to cubic extensions of the Poincare algebra.
引用
收藏
页码：213 / +
页数：2
相关论文
共 46 条
  • [1] FRACTIONAL SUPERSYMMETRIES IN PERTURBED COSET CFTS AND INTEGRABLE SOLITON THEORY
    AHN, C
    BERNARD, D
    LECLAIR, A
    [J]. NUCLEAR PHYSICS B, 1990, 346 (2-3) : 409 - 439
  • [2] Gauge symmetry and supersymmetry of multiple M2-branes
    Bagger, Jonathan
    Lambert, Neil
    [J]. PHYSICAL REVIEW D, 2008, 77 (06):
  • [3] Modeling multiple M2-branes
    Bagger, Jonathan
    Lambert, Neil
    [J]. PHYSICAL REVIEW D, 2007, 75 (04):
  • [4] DYNAMICAL THEORY OF SUBCONSTITUENTS BASED ON TERNARY-ALGEBRAS
    BARS, I
    GUNAYDIN, M
    [J]. PHYSICAL REVIEW D, 1980, 22 (06): : 1403 - 1413
  • [5] CONSTRUCTION OF LIE-ALGEBRAS AND LIE SUPERALGEBRAS FROM TERNARY ALGEBRAS
    BARS, I
    GUNAYDIN, M
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1979, 20 (09) : 1977 - 1993
  • [6] POINCARE INVARIANCE AND QUANTUM PARASUPERFIELDS
    BECKERS, J
    DEBERGH, N
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1993, 8 (28): : 5041 - 5061
  • [7] Campoamor-Stursberg R., 2009, J GEN LIE THEORY APP, V3, P113, DOI [10.4303/jglta/S090203, DOI 10.4303/JGLTA/S090203]
  • [8] CAMPOAMORSTURSB.R, ARXIV09072149HEPTH
  • [9] Finite-gap systems, tri-supersymmetry and self-isospectrality
    Correa, Francisco
    Jakubsky, Vit
    Plyushchay, Mikhail S.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (48)
  • [10] Self-isospectrality, special supersymmetry, and their effect on the band structure
    Correa, Francisco
    Jakubsky, Vit
    Nieto, Luis-Miguel
    Plyushchay, Mikhail S.
    [J]. PHYSICAL REVIEW LETTERS, 2008, 101 (03)
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