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  • 1.
    Bette, Andreas
    KTH.
    Twistors, special relativity, conformal symmetry and minimal coupling - A review2005In: International Journal of Geometric Methods in Modern Physics (IJGMMP), ISSN 0219-8878, Vol. 2, no 2, p. 265-304Article, review/survey (Refereed)
    Abstract [en]

    An approach to special relativistic dynamics using the language of spinors and twistors is presented. Exploiting the natural conformally invariant symplectic structure of the twistor space, a model is constructed which describes a relativistic massive, spinning and charged particle, minimally coupled to an external electro-magnetic field. On the two-twistor phase space the relativistic Hamiltonian dynamics is generated by a Poincare scalar function obtained from the classical limit (appropriately defined by us) of the second order, to an external electro-magnetic field minimally coupled Dirac operator. In the so defined relativistic classical limit there are no Grassman variables. Besides, the arising equation that describes dynamics of the relativistic spin differs significantly from the so-called Thomas Bergman Michel Telegdi equation.

  • 2.
    Koivisto, Tomi S.
    KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
    An integrable geometrical foundation of gravity2018In: International Journal of Geometric Methods in Modern Physics (IJGMMP), ISSN 0219-8878, Vol. 15, article id 1840006Article in journal (Refereed)
    Abstract [en]

    In a talk at the conference Geometrical Foundations of Gravity at Tartu, 2017, it was suggested that the affine spacetime connection could be associated with purely fictitious forces. This leads to gravitation in a flat and smooth geometry. Fermions are found to nevertheless couple with the metrical connection and a phase gauge field. The theory is reviewed in this proceeding in a Palatini, and in a metric-affine gauge formulation.

  • 3.
    Zheltukhin, Aleksandr A.
    KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
    On nonlinearity of p-brane dynamics2012In: International Journal of Geometric Methods in Modern Physics (IJGMMP), ISSN 0219-8878, Vol. 9, no 6, p. 1261017-Article in journal (Refereed)
    Abstract [en]

    Nonlinear equations of p-branes in D = (2p + 1)-dimensional Minkowski space are discussed. Presented are new exact solutions for a set of spinning p-branes with the Abelian symmetries U(1) x U(1) x ... x U(1) of their shapes.

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