Group Theoretical Methods in Physics pp 192-213 | Cite as

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

Session III — Gravity, Supergravity, Supersymmetry

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## Abstract

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 E_{7(7)} and OSp(8/4,IR) are also discussed.

## Keywords

Coherent State Unitary Representation Maximal Compact Subgroup Unitary Irreducible Representation Fermion Operator
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## References

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© Springer-Verlag 1983