The goal of this paper is to calculate of order reduction of the KdV typeequation and the non-isospectral KdV type equation using the μ-symmetrymethod. Moreover we obtain μ-conservation law of the non-isospectral KdVtype equation using the variational problem method.

We stress that a natural solution of the μ problem requires two ingredients: a symmetry that would enforce μ = 0 as well as the occurence of a small breaking parameter that generates a nonzero μ. It is suggested that both the Peccei-Quinn symmetry and the spontaneously broken R symmetry may be the sources of the needed μ term in the minimal supersymmetric standard model provided that they are s...

I report the recent studies1,2) on the low–energy manifestations of a minimal extension of the Standard Model based on the quarklepton symmetry SU(4)V ⊗ SU(2)L ⊗ GR of the Pati-Salam type. Given this symmetry the third type of mixing in the interactions ot the SU(4)V leptoquarks with quarks and leptons is shown to be required. An additional arbitrariness of the mixing parameters could allow, in...

We suggest a solution to the μ problem of gauge mediated supersymmtery breaking models based on flavor symmetries. In this scenario the μ term arises through the vacuum expectation value of a singlet scalar field which is suppressed by a flavor symmetry factor relative to the scale of dynamical SUSY breaking. The same flavor symmetry also ensures that the soft SUSY breaking parameter Bμ is not ...

We present a model of gravity based on spontaneous Lorentz symmetry breaking. We start from a model with spontaneously broken symmetries for a massless 2-tensor with a linear kinetic term and a nonderivative potential, which is shown to be equivalent to linearized general relativity, with the Nambu-Goldstone (NG) bosons playing the role of the gravitons. We apply a bootstrap procedure to the mo...