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 E7(7) and OSp(8/4,IR) are also discussed.
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References
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The work of references (1) and (2) was originally motivated by the arguments indicating that the bound states of ESGTs (N=4-8) may come in unitary representations of the respective non-compact symmetry groups. For a detailed discussion of the relevance of these unitary representations to ESGTs, see reference (29).
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For a study of the unitary realizations of the N = 4 algebra without using the oscillator methods see reference (37)
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Günaydin, M. (1983). Oscillator-like unitary representations of non-compact groups and supergroups and extended supergravity theories. In: Serdaroğlu, M., Ínönü, E. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 180. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12291-5_27
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DOI: https://doi.org/10.1007/3-540-12291-5_27
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