Oscillator-like unitary representations of non-compact groups and supergroups and extended supergravity theories

  • M. Günaydin
Session III — Gravity, Supergravity, Supersymmetry
Part of the Lecture Notes in Physics book series (LNP, volume 180)


A general theory of a unified construction of the oscillator-like unitary irreducible representations (UIR) of non-compact groups and supergroups is presented. Particle state as well as coherent state bases for these UIRs are given and the case of SU(m,p/n+q) is treated in detail. Applications of this theory to the construction of unitary representations of non-compact groups and supergroups of extended supergravity theories, with particular emphasis on E7(7) and OSp(8/4,IR) are also discussed.


Coherent State Unitary Representation Maximal Compact Subgroup Unitary Irreducible Representation Fermion Operator 
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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • M. Günaydin
    • 1
  1. 1.Laboratoire de Physique Théorique de l'Ecole Normale SupérieureParis Cedex 05France

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