[en] The author reviews the state of the researches on the unification of the basic interactions with the supersymmetric theories: supersymmetry superspaces, sparticles (squarks, sneutrinos, selectrons, gluinos, photinos, winos, zinos, gravitinos) are clearly exposed and also the problems of the detection of these sparticles by new detectors and new accelerators

[en] The confrontation of current unified theories with cosmoly may prove to be very fruteful. Indeed the demand that the cosmological models they induce match the standard scenario and be free of manifest pathologies imposes severe constraints on them. We thus show that no-scale supergravity (at least its simplest incarnation) may not provide acceptable models of the early universe

[en] The author reviews the problem of Einstein's original proposal for the unification of gravity and electromagnetism in space-time differential geometry along the lines of the recent contributions by A.A. Logunov, R.M. Santilli, D.F. Lopez and others. The author presents a new method of unification based on the Lie-Santilli isotopic theory whereby the unified field tensor g = (g_μν) is constructed from the symmetric Riemannian gravitational tensor, g = (gμν), and the antisymmetric electromagnetic field tensor F = (F_μν) via an isotopic lifting g → g = Fg of the type of Lax pairing, where det F ≠ 0, the unified field g satisfies Logunov-Santilli equations while g and F are treated as Lax pair. Because of Santilli's isotopic equivalence between Minkowskian and Riemannian geometries, the author infers that in the Minkowskian limit F = f, g = η, the metric η satisfies Lax's equation of motion ∂η/∂t = fη - ηf which insures the conservation of the eigenvalues of g. The invariance of the electromagnetic group of transformations (F) in Minkowski space is determined by the eigenvalue equations, det (F_μν)-λη_μν = 0, from which the author deduces a Lie-isotopic open-quotes extendedclose quotes relativity principle. A wave equation for a spin-2 particle in the unified field is derived, and the experimental consequences of the theory are discussed

[en] The author introduce the new equations of the two unified field tensors that are modified forms of Hlavaty representations, and suggest several theorems for the above new unified field tensors. (KAERI)

[en] A scheme of unification is discussed where the sources of gravity form a supersymmetric multiplet, but gravity is not a member of this multiplet (with spins <= 3/2). Gravity is introduced later as a gauge field, the global gauge being the 4-parametric translation group. (author)

[en] Published in summary form only

[en] I review the current experimental bounds and theoretical predictions for different kinds of heavy neutral vector bosons.

[en] This paper is aimed to review the contribution made by scientists working at Mexican Institutions on the subject of Electroweak symmetry breaking. This review covers the period from the 80 up to the present

[en] We point out the possibility that the magnitude of the bare gauge coupling constant is determined theoretically in a composite model of all particles in SUSY theories. We show explicitly in two space-time dimensions that the N L/L SUSY relation (i.e. a SUSY compositeness condition for all particles) between N = 2 L SUSY QED and N = 2 N L SUSY determines the magnitude of the bare electromagnetic coupling constant (i.e. the fine structure constant) of N = 2 L SUSY QED.

[en] A unique feature of N=6 conformal supergravity in three dimensions is that the super Cotton tensor W"I"J"K"L can equivalently be viewed, via the Hodge duality, as the field strength of an Abelian vector multiplet, W"I"J. Using this observation and the conformal superspace techniques developed in arXiv:1305.3132 and arXiv:1306.1205, we construct the off-shell action for N=6 conformal supergravity. The complete component action is also worked out