Chiral Dirac–Born–Infeld solitons with SDiff symmetry

Abstract

We propose a new DBI extension of a Skyrme type model which allows for BPS topological solitons with arbitrary value of the baryon charge. The model is built out of the baryon density squared and in the limit of small fields tends to the BPS Skyrme model. We consider some generalizations to higher dimensions and other K-deformed actions.

Bogomolny equations in certain generalized baby BPS Skyrme models

“…if the potential satisfies the above-mentioned system of equations for V. A similar result was obtained in [36]. In this case, obtaining general expression for V (i.e.…”

“…Now, the next step is to check if, when the equations ( 34)-( 36) are satisfied, equations (43) hold. Thus, we insert ( 40)-( 42) into ( 34)- (36). Hence, we get a system of partial differ ential equations for V. It has turned out that V = V(ω, ω * ) and the solution of this system, for U = U(ωω * ), is:…”

The Existence of Bogomolny Decompositions for Gauged $O(3)$ Nonlinear ``sigma'' Model and for Gauged Baby Skyrme Models

“…We started from finding the most general form of the functions R j = R j (ω, ω * , A 1 , A 2 ), (j = 1, 2), in the density of the topological invariant (16), written down in complex field variables, and the most general form of these functions in the density of the topological invariant (an analogon to ( 16)), written down in real field variables u, v. It has turned out that R…”

“…This generalization makes possible, deriving of Bogomolny decomposition, for more wide class of the potentials. When we need to express (16) in real functions u = ℜ(ω), v = ℑ(ω), then:…”

“…In [15], it was shown that the Bogomolny bound of (1+1)-dimensional gauged sigma models, can be written down by using terms of two conserved charges, similarly to the Bogomolny bound of the BPS dyons in (3+1)-dimensions. Some new Dirac-Born-Infeld extension of BPS Skyrme model was done in [16]. Gauged version of Faddeev-Skyrme model in (3+1)-dimensions, with Maxwell term, was discussed in [17].…”