ABSTRACTS OF PAPERS TO APPEAR IN FUTURE ISSUES 225 polarizations, in the extreme relativistic limit for the electron, and examples where the nuclear states involved have specific angular momenta and parities are discussed in some detail. Deductive Inference of Nuclear Boson Models (IBM, TQM, FQM) Based on SU(6) Dynamical Symmetry. G. KYRCl-mv. Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria; AND V. PAAR. Prirodoslovno-matemati6ki fakultet, University of Zagreb, Maruli6ev trg 19, Zagreb, Yugoslavia. A single deductive inference of Schwinger realization (=Interacting Boson Model-IBM), Holstein- Primakoff realization (=Truncated Quadrupole Phonon ModeI-TQM) and Dyson realization (=Finite Quadrupole Phonon Model-FQM) of dynamical SU(6) Quadrupole Collective Algebra (QCA) is presented with a full scope of their isomorphism on the level of representations. Dyson realization of QCA is explicitly constructed by using holomorphically parametrized generalized coherent state and explicit form of root vectors. Utilizing appropriate orthogonalizing operators Holstein-Primakoff realization of QCA has been derived from the Dyson realization. The carrier spaces of Schwinger and Holstein-Primakoff realizations are investigated on the same footing and Marshalek's boson is rigorously derived. The intertwining operator which connects Schwinger and Holstein-Primakoff realizations is constructed and its domain and image are determined. It is shown that the intertwining operator has well-defined inverse in a definite factor space of the IBM basis space which is proved to be isomorphic to the physical subspace of the TQM basis space, meaning equivalence of IBM, TQM, and FQM on level of representations. The Supersymmetric Higgs Mechanism--Quartet Decoupling and Non-doubled Goldstone Bosons. GRAHAM M. SHORE. The Blackett Laboratory, Imperial College, London SW7 2BZ, United Kingdom. A complete quantum field theoretic analysis of the supersymmetric Higgs mechanism is presented, in the general case where the Goldstone bosons may be either doubled or non-doubled. If gauge fields are coupled to non-doubled Goldstone bosons, it is found that supersymmetry is spontaneously broken not just by the masses but also by the spins of the physical particles. The spectrum reveals no supersymmetry multiplet structure. The decoupling of unphysical degrees of freedom is carefully discussed, and the quartet decoupling mechanism for gauged Goldstone bosons is extended to supersymmetry theories. The results are illustrated with an SU(2)x U(1) model. Printed in Belgium

The supersymmetric higgs mechanism—Quartet decoupling and non-doubled goldstone bosons

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Page 1: The supersymmetric higgs mechanism—Quartet decoupling and non-doubled goldstone bosons

ABSTRACTS OF PAPERS TO APPEAR IN FUTURE ISSUES 225

polarizations, in the extreme relativistic limit for the electron, and examples where the nuclear states involved have specific angular momenta and parities are discussed in some detail.

Deductive Inference of Nuclear Boson Models (IBM, TQM, FQM) Based on SU(6) Dynamical Symmetry. G. KYRCl-mv. Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria; AND V. PAAR. Prirodoslovno-matemati6ki fakultet, University of Zagreb, Maruli6ev trg 19, Zagreb, Yugoslavia.

A single deductive inference of Schwinger realization (=Interacting Boson Model-IBM), Holstein- Primakoff realization (=Truncated Quadrupole Phonon ModeI-TQM) and Dyson realization (=Fini te Quadrupole Phonon Model-FQM) of dynamical SU(6) Quadrupole Collective Algebra (QCA) is presented with a full scope of their isomorphism on the level of representations. Dyson realization of QCA is explicitly constructed by using holomorphically parametrized generalized coherent state and explicit form of root vectors. Utilizing appropriate orthogonalizing operators Holstein-Primakoff realization of QCA has been derived from the Dyson realization. The carrier spaces of Schwinger and Holstein-Primakoff realizations are investigated on the same footing and Marshalek's boson is rigorously derived. The intertwining operator which connects Schwinger and Holstein-Primakoff realizations is constructed and its domain and image are determined. It is shown that the intertwining operator has well-defined inverse in a definite factor space of the IBM basis space which is proved to be isomorphic to the physical subspace of the TQM basis space, meaning equivalence of IBM, TQM, and FQM on level of representations.

The Supersymmetric Higgs Mechanism--Quartet Decoupling and Non-doubled Goldstone Bosons. GRAHAM M. SHORE. The Blackett Laboratory, Imperial College, London SW7 2BZ, United Kingdom.

A complete quantum field theoretic analysis of the supersymmetric Higgs mechanism is presented, in the general case where the Goldstone bosons may be either doubled or non-doubled. If gauge fields are coupled to non-doubled Goldstone bosons, it is found that supersymmetry is spontaneously broken not just by the masses but also by the spins of the physical particles. The spectrum reveals no supersymmetry multiplet structure. The decoupling of unphysical degrees of freedom is carefully discussed, and the quartet decoupling mechanism for gauged Goldstone bosons is extended to supersymmetry theories. The results are illustrated with an SU(2)x U(1) model.

Printed in Belgium