[en] Properties of the effective Lagrangian obeying anomalous U(3) x U(3) current algebra constraints are discussed. Analytic formulae are deduced for the current interpolating constants F/sub ab/, the topological constant C (governing the strength of coupling of the topological charge to the physical meson spectrum) and the wave function renormalization matrix (√Z)/sub ab/. Numerical evaluations of F/sub ab/, C and the gluon content of the eta and eta' are obtained. Strong CP violation deltaL/sub CP/ produced by the theta vacuum is derived, and deltaL/sub CP/ is expressed in terms of physical meson fields

[en] Particle content in prototype models of gauge supersymmetry is examined. The properties of the prototype models that are in common with those of gauge supersymmetries are the initial nondiagonality of the quadratic part of the action, global supersymmetry invariance, and the existence of a mass parameter in the quadratic part of the action. The analysis exhibits the particle content of prototype models to consist of normal poles and sets of complex conjugate poles on the physical sheet. Diagonalization of the hamiltonian can be carried out for such systems (in contrast to the prototype model of conformal supergravity where dipole ghosts arose). Essentially the pole structure observed in the prototype models of gauge supersymmetry is the supersymmetric analog of the Lee-Wick phenomenon where the normal and the complex conjugate poles form global multiplets

[en] The effective Lagrangian which includes the U(1) axial anomaly is discussed. The Lagrangian describes the interaction of physical mesons of spin zero and spin one fields and an effective Kogut-Susskind four vector anomaly field. The interactions are constructed which satisfy all the anomalous Ward identities for vertices which accommodate arbitrary amounts of chiral and SU(3) symmetry breaking consistent with U(3) x U(3) current algebra

[en] The discussion of the dynamics of supergauge theory includes supergauge transformations, supersymmetry space geometry, spontaneous breakdown of the supergauge, and the unification of elementary interactions

No abstract available

[en] Unified models based on N = 1 Supergravity possess the novel feature that the spontaneous breaking of SU(2) x U(1) is triggered by the spontaneous breaking of Supergravity. This phenomenon relates the mass scale of the two breakings i.e., one finds the gravitino mass m₉ ∼ M/sub W/, thus establishing a link between the gravitational and the electro-weak interactions. The N = 1 Supergravity unified models predict a variety of new phenomena in the low energy domain and we discuss some of these in the following

[en] A review of recent developments in the applications of N=1 supergravity to the construction of unified models of elementary particle interactions is given. Couplings of N=1 supergravity with matter consisting of an arbitrary set of left handed multiplets and a gauge multiplet are discussed. General formulation of spontaneous symmetry breaking and the criteria for breaking of internal symmetry and of local supersymmetry are described. Construction of specific supergravity GUT models, the gauge hierarchy in GUT models and a deduction of the low energy effective potential are discussed. The phenomena of SU(2)XU(1) electro-weak gauge invariance breakdown by supergravity in tree models and by radiative corrections using renormalization group methods are described. The particle content of supergravity unified theories at low energy is given which includes predictions, for a class of supergravity models, of light gauge fermions, i.e. of a charged Dirac fermion, the Wino, with a mass below the W boson mass and a neutral fermion, the Zino, below the mass of the Z boson mass. ''Direct'' gaugino masses arising from loops for the photino and the gluino, (which are massless at the tree level) are exhibited. Decays of the W and Z into photino, Wino, and Zino modes and their branching ratios into various channels are given

No abstract available

[en] A brief summary of some of the recent developments in the analyses of supersymmetric dark matter is given

No abstract available