Super-Poincaré Algebra

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In theoretical physics, a super-Poincaré algebra is an extension of the Poincaré algebra to incorporate supersymmetry, a relation between bosons and fermions. They are examples of supersymmetry algebras, and hence are Lie superalgebras. Thus a super-Poincaré algebra is a Z2 graded vector space with a graded Lie bracket such that the even part is a Lie algebra containing the Poincaré algebra, and the odd part is built from spinors on which there is an anticommutation relation with values in the even part.The simplest supersymmetric extension of the Poincaré algebra contains two Weyl spinors with the following anti-commutation relation: {Q{alpha}, bar Q{dot{beta}}} = 2{sigma^mu}{alphadot{beta}}Pmu and all other anti-commutation relations between the Qs and Ps vanish.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786139155163
    • Editor Theia Lucina Gerhild
    • Sprache Englisch
    • Auflage Aufl.
    • Größe H220mm x B220mm
    • Jahr 2012
    • EAN 9786139155163
    • Format Kartonierter Einband
    • ISBN 978-613-9-15516-3
    • Titel Super-Poincaré Algebra
    • Untertitel Poincar Group, Supersymmetry, Supersymmetry Algebra, Lie Algebra, Pauli Matrices
    • Herausgeber POLIC
    • Anzahl Seiten 60
    • Genre Mathematik

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