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Supersymmetric NLSM

  • Sergei V. Ketov
Chapter
  • 482 Downloads
Part of the Texts and Monographs in Physics book series (TMP)

Abstract

In this chapter we extend some of the general results of Chap. 2 to the supersymmetric NLSM. Though our presentation is self-contained, we would like to mention some basic references about supersymmetry [121, 122, 123, 124, 125, 126, 127, 128], supergravity [129, 130, 131], and superspace [132, 133, 134, 135, 136, 137], as well as some reviews [138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148]. A supersymmetry algebra in d dimensions is the Z 2 graded extension of the Poincaré algebra. In addition to the even Poincaré generators, it has odd supersymmetry generators that transform in a spinor representation of the Lorentz group. A simple supersymmetry has only one irreducible spinor representation of minimal dimension. If there are N such spinors, one has the N-extended supersymmetry. In two dimensions, a generic (p, q) supersymmetry algebra can have p chiral and q anti-chiral real spinor generators. The minimal 2d non-chiral supersymmetry is N = (1, 1), while the real chiral (1,0) supersymmetry in 2d is often called heterotic.

Keywords

Internal Line Group Manifold Bosonic Case Spinor Derivative Field Redefinition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Sergei V. Ketov
    • 1
  1. 1.Institut für Theoretische PhysikUniversität HannoverHannoverGermany

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