The canonical quantization of the kink - model beyond the static solution

A new approach to the quantization of the relativistic kink - model around the solitonic solution is developed on the ground of the collective coordinates method. The corresponding effective action is proved to be the action of the nonminimal $d=1+1$ point - particle with curvature. It is shown that upon canonical quantization this action yields the spectrum of kink - solution obtained firstly with the help of the WKB - quantization

Supersymmetric 3-brane from the extended Goldstone-Maxwell supermultiplet

A new gauge supermultiplet of the N=2, D=4 supersymmetry with the complex central charge is proposed. Besides the global N=2, D=4 supersymmetry it possesses the symmetry under the central charge transformations and the special N=2 gauge invariance. It is shown that when one of the supersymmetries is spontaneously broken and the gauge is fixed this multiplet describes the standard action of the supersymmetric 3-brane

Linear and nonlinear realizations of superbranes

The coordinate transformations which establish the direct relationship between the actions of linear and nonlinear realizations of supermembranes are proposed. It is shown that the Rocek-Tseytlin constraint known in the framework of the linear realization of the theory is simply equivalent to a limit of a "pure" nonlinear realization in which the field describing the massive mode of the supermembrane puts to zero.Comment: 8 pages, LaTeX + espcrc2.sty The talk given at the D. Volkov Memorial Conference SQFT, July, 25-29, 200