Unitary representations of non-compact supergroups

I. Bars, M. Günaydin

Research output: Contribution to journalArticle

165 Scopus citations

Abstract

We give a general theory for the construction of oscillator-like unitary irreducible representations (UIRs) of non-compact supergroups in a super Fock space. This construction applies to all non-compact supergroups G whose coset space G/K with respect to their maximal compact subsupergroup K is "Hermitean supersymmetric". We illustrate our method with the example of SU(m, p/n+q) by giving its oscillator-like UIRs in a "particle state" basis as well as "supercoherent state basis". The same class of UIRs can also be realized over the "super Hilbert spaces" of holomorphic functions of a Z variable labelling the coherent states.

Original languageEnglish (US)
Pages (from-to)31-51
Number of pages21
JournalCommunications In Mathematical Physics
Volume91
Issue number1
DOIs
StatePublished - Mar 1 1983

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Fingerprint Dive into the research topics of 'Unitary representations of non-compact supergroups'. Together they form a unique fingerprint.

  • Cite this