Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-dual configurations in a generalized Abelian Chern-Simons-Higgs
  model with explicit breaking of the Lorentz covariance   We have studied the existence of self-dual solitonic solutions in a
generalization of the Abelian Chern-Simons-Higgs model. Such a generalization
introduces two different nonnegative functions, $\omega_1(|\phi|)$ and
$\omega(|\phi|)$, which split the kinetic term of the Higgs field -
$|D_\mu\phi|^2 \rightarrow\omega_1 (|\phi|)|D_0\phi|^2-\omega(|\phi|)
|D_k\phi|^2$ - breaking explicitly the Lorentz covariance. We have shown that a
clean implementation of the Bogomolnyi procedure only can be implemented
whether $\omega(|\phi|) \propto \beta |\phi|^{2\beta-2}$ with $\beta\geq 1$.
The self-dual or Bogomolnyi equations produce an infinity number of soliton
solutions by choosing conveniently the generalizing function $\omega_1(|\phi|)$
which must be able to provide a finite magnetic field. Also, we have shown that
by properly choosing the generalizing functions it is possible to reproduce the
Bogomolnyi equations of the Abelian Maxwell-Higgs and Chern-Simons-Higgs
models. Finally, some new self-dual $|\phi|^6$-vortex solutions have been
analyzed both from theoretical and numerical point of view.

28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat