In this work, the relativistic non-standard Lagrangian densities (k-fields) with massless solutions are generally introduced. Such not necessarily energetically stable. However, in $$3+1$$ dimensions, we introduce a new k-field model that results single non-topological solitary wave solution. This special solution is stable; is, any arbitrary deformation above its background leads to an increas...

We study the topological-antitopological fusion equations for supersymmetric σ-models on Grassmannian manifolds G(k,N). We find a basis in which the metric becomes diagonal and the tt equations become tractable. The solution for the metric of G(k,N) can then be described in terms of the metric for the CPmodels. The IR expansion helps clarify the picture of the vacua and gives the soliton number...

We investigate the interaction of a periodic solution and a one-soliton solution for the spin-polarized current in a uniaxial ferromagnetic nanowire. The amplitude and wave number of the periodic solution for the spin current give different contributions to the width, velocity, and amplitude of the soliton. Moreover, we found that the soliton can be trapped only in space with proper conditions....

Topological terms in the O(3) nonlinear sigma model in (1 + 1) and (2 + 1) dimensions are re-examined based on the description of the SU(2)-valued field g. We first show that the topological soliton term in (1+1) dimensions arises from the unitary representations of the group characterizing the global structure of the symmetry inherent in the description, in a manner analogous to the appearance...

Using the operator formulation we discuss the bosonization of the two-dimensional derivative-coupling model. The fully bosonized quantum Hamiltonian is obtained by computing the composite operators as the leading terms in the Wilson short distance expansion for the operator products at the same point. In addition, the quantum Hamiltonian contains topological terms which give trivial contributio...

We present various supergravity black holes of different dimensions with some U(1) charges set equal in a simple, common form. Black hole solutions of seven dimensional U(1) gauged supergravity with three independent angular momenta and two equal U(1) charges are obtained. We investigate the thermodynamics and the BPS limit of this solution, and find that there are rotating supersymmetric black...

We analyze the model of topological fermions, where charged fermions are treated as topological solitons. We discuss vibrations of soliton shapes. It is shown that depending on the power of the potential term (discrete parameter m) of the model Lagrangian the spectrum of normal mode frequencies can be discrete (for m = 1) or continuous (for m ≥ 2). PACS: 05.45.Yv

We investigate N = 2 supersymmetric sigma model orbifolds of the sphere in the large radius limit. These correspond to N = 2 superconformal field theories. Using the equations of topological-anti-topological fusion for the topological orbifold, we compute the generalized Dynkin diagrams of these theories i.e., the soliton spectrum which was used in the classification of massive superconformal t...