Cyclic gradings of Lie algebras and lax pairs for σ-models

被引:7
|
作者
Bykov, D. V. [1 ]
机构
[1] Russian Acad Sci, Steklov Math Inst, Moscow, Russia
基金
俄罗斯科学基金会;
关键词
sigma-model; integrable system; complex structure;
D O I
10.1134/S0040577916120060
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study a class of sigma-models with complex homogeneous target spaces and zero-curvature representations. We find a relation between these models and sigma-models with certain m-symmetric target spaces. We also describe a model with the hypercomplex target space S (1) x S (3) in detail.
引用
收藏
页码:1734 / 1741
页数:8
相关论文
共 50 条
  • [1] Cyclic gradings of Lie algebras and lax pairs for σ-models
    D. V. Bykov
    Theoretical and Mathematical Physics, 2016, 189 : 1734 - 1741
  • [2] Lax operators algebras and gradings on semisimple Lie algebras
    O. K. Sheinman
    Doklady Mathematics, 2015, 91 : 160 - 162
  • [3] Lax operators algebras and gradings on semisimple Lie algebras
    Sheinman, O. K.
    DOKLADY MATHEMATICS, 2015, 91 (02) : 160 - 162
  • [4] LAX OPERATOR ALGEBRAS AND GRADINGS ON SEMI-SIMPLE LIE ALGEBRAS
    Sheinman, O. K.
    TRANSFORMATION GROUPS, 2016, 21 (01) : 181 - 196
  • [5] LAX OPERATOR ALGEBRAS AND GRADINGS ON SEMI-SIMPLE LIE ALGEBRAS
    O. K. SHEINMAN
    Transformation Groups, 2016, 21 : 181 - 196
  • [6] Orthogonal functions related to Lax pairs in Lie algebras
    Wolter Groenevelt
    Erik Koelink
    The Ramanujan Journal, 2023, 61 : 445 - 474
  • [7] Orthogonal functions related to Lax pairs in Lie algebras
    Groenevelt, Wolter
    Koelink, Erik
    RAMANUJAN JOURNAL, 2023, 61 (02): : 445 - 474
  • [8] Finite gradings of Lie algebras
    Sanchez Ortega, Juana
    Siles Molina, Mercedes
    JOURNAL OF ALGEBRA, 2012, 372 : 161 - 171
  • [9] A Construction of Gradings of Lie Algebras
    Fernandez Lopez, Antonio
    Garcia, Esther
    Gomez Lozano, Miguel
    Neher, Erhard
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2007, 2007
  • [10] Lie gradings on associative algebras
    Bahturin, Yuri
    Bresar, Matej
    JOURNAL OF ALGEBRA, 2009, 321 (01) : 264 - 283