Twisted Higher Spin Dirac Operators

被引:4
|
作者
De Schepper, H. [1 ]
Eelbode, D. [2 ]
Raeymaekers, T. [1 ]
机构
[1] Univ Ghent, Dept Math Anal, Clifford Res Grp, B-9000 Ghent, Belgium
[2] Univ Antwerp, Dept Math & Comp Sci, B-2020 Antwerp, Belgium
关键词
Invariant operators; Twisted Dirac operator; Higher spin analysis; REPRESENTATIONS;
D O I
10.1007/s11785-013-0295-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we define twisted higher spin Dirac operators and explain how these invariant differential operators can be used to define more general higher spin Dirac operators acting on functions on which then take values in general half-integer representations for the spin group.
引用
收藏
页码:429 / 447
页数:19
相关论文
共 50 条
  • [1] Twisted Higher Spin Dirac Operators
    H. De Schepper
    D. Eelbode
    T. Raeymaekers
    [J]. Complex Analysis and Operator Theory, 2014, 8 : 429 - 447
  • [2] On the fundamental solution for higher spin Dirac operators
    Eelbode, D.
    Raeymaekers, T.
    Van Lancker, P.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 405 (02) : 555 - 564
  • [3] A toy model for higher spin Dirac operators
    D. Eelbode
    L. Van de Voorde
    [J]. Physics of Atomic Nuclei, 2010, 73 : 282 - 287
  • [4] On an Inductive Construction of Higher Spin Dirac Operators
    De Schepper, H.
    Eelbode, D.
    Raeymaekers, T.
    [J]. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 1500 - +
  • [5] A Toy Model for Higher Spin Dirac Operators
    Eelbode, D.
    Van de Voorde, L.
    [J]. PHYSICS OF ATOMIC NUCLEI, 2010, 73 (02) : 282 - 287
  • [6] TRIPLE MONOGENIC FUNCTIONS AND HIGHER SPIN DIRAC OPERATORS
    Brackx, F.
    Eelbode, D.
    Raeymaekers, T.
    Van De Voorde, L.
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2011, 22 (06) : 759 - 774
  • [7] Polynomial Solutions For Arbitrary Higher Spin Dirac Operators
    Eelbode, D.
    Raeymaekers, T.
    [J]. EXPERIMENTAL MATHEMATICS, 2015, 24 (03) : 339 - 354
  • [8] Decomposition of the polynomial kernel of arbitrary higher spin Dirac operators
    Eelbode, D.
    Raeymaekers, T.
    Van der Jeugt, J.
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2015, 56 (10)
  • [9] On a special type of solutions of arbitrary higher spin Dirac operators
    De Schepper, H.
    Eelbode, D.
    Raeymaekers, T.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (32)
  • [10] Twisted Reality Condition for Dirac Operators
    Brzezinski, Tomasz
    Ciccoli, Nicola
    Dabrowski, Ludwik
    Sitarz, Andrzej
    [J]. MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2016, 19 (03)