We study the magnon modes in the presence of a topological soliton in a 2d Heisenberg easy–axis ferromagnet. The problem of magnon scattering on the soliton with arbitrary relation between the soliton radius R and the “magnetic length” ∆0 is investigated for partial modes with different values of the azimuthal quantum numbers m. Truly local modes are shown to be present for all values of m, whe...

A two-dimensional dilatonic black hole induced by a topological soliton is exactly solvable in the scalar field theory coupled to dilaton gravity. The Hawking radiation of the black hole is studied in the one-loop approximation with the help of the trace anomaly of energy-momentum tensors which is a geometrical invariant. The quantum theory can be also soluble in the RST scheme in order to cons...

This paper studies the generalized nonlinear Klein-Gordon equations in 1+2 dimensions. There are five forms of nonlinearity that are considered in this paper. The solitary wave ansatz is used to carry out the integration of these five forms. Both topological and non-topological soliton solutions are obtained depending on the nonlinear form. AMS Codes: 37K10; 35Q51, 35Q55 PACS Codes: 02.30.Ik, 0...

The Skyrme-Faddeev model is a modified sigma model in three-dimensional space, which has string-like topological solitons classified by the integer-valued Hopf charge. Numerical simulations are performed to compute soliton solutions for Hopf charges up to sixteen, with initial conditions provided by families of rational maps from the threesphere into the complex projective line. A large number ...

We construct the SO(32) spinor state in weakly coupled type I string theory as a kink solution of the tachyon field on the D-string − anti-D-string pair and calculate its mass. We also give a description of this system in terms of an exact boundary conformal field theory and show that in this description this state can be regarded as a non-supersymmetric D0-brane in type I string theory. This c...

The novel observation of an exotic strangeness S = +1 baryon state at 1.54 GeV will trigger an intensified search for this and other baryons with exotic quantum numbers. This state was predicted long ago in topological soliton models. We use this approach together with the new datum in order to investigate its implications for the baryon spectrum. In particular we estimate the positions of othe...

We construct numerical solutions for non-topological solitons in threedimensional U(1)-gauged N = 2 supergravity. We find the region of the solutions showing with the BTZ mass, the angular momentum and the magnetic flux and discuss the relation among the physical parameters for various values of a cosmological constant. PACS number(s): 04.40.Dg Typeset using REVTEX e-mail: [email protected]...

I briefly describe a new class of soliton configurations in field theories. These consist of topological defects which can end when they intersect other defects of equal or higher dimensionality. Such configurations may be termed “Dirichlet topological defects”, in analogy with the D-branes of string theory. I provide a specific example cosmic strings that terminate on domain walls and discuss ...

Finite topological quantum systems can undergo continuous metastable quantum phase transitions to change their topological nature. Here we show how to nucleate the transition between ring currents and dark soliton states in a toroidally trapped Bose-Einstein condensate. An adiabatic passage to wind and unwind its phase is achieved by explicit global breaking of the rotational symmetry. This cou...

We construct static and time dependent exact soliton solutions for a theory of scalar fields taking values on a wide class of two dimensional target spaces, and defined on the four dimensional space-time S 3 × IR. The construction is based on an ansatz built out of special coordinates on S 3. The requirement for finite energy introduces boundary conditions that determine an infinite discrete sp...