Supersymmetry and Non-compact Groups in Supergravity*
نویسندگان
چکیده
We study the interplay of supersymmetry and certain non-compact invariance groups in extended supergravity theories (ESGTs). We use the N = 4 ESGT . to demonstrate that these symmetries do not commute and exhibit the infinite dimensional superinvariance algebra generated by them in the rigid limit. Using this result, we look for unitary representations of the full algebra. We discuss the implications of our results in the context of attempts to derive a relativistic effective gauge theory of elementary particles interpreted as bound states of the N = 8 ESGT.
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