We investigate the presence of localized structures for relativistic scalar fields coupled to
impurities in arbitrary spatial dimensions. Such systems present spatial inhomogeneity …

To investigate possible topological vortex structures in generalized models, we developed a
perturbative generation approach for scalar-vector theories. We demonstrate explicitly that …

We consider a version of the Skyrme model where both the kinetic term and the Skyrme term
are multiplied by field-dependent coupling functions. For suitable choices, this “dielectric …

We consider the dielectric Skyrme model proposed recently, with and without the addition of
the standard pion mass term. Then we write down Bogomol'nyi-type energy bounds for both …

We introduced a generalized Maxwell–Higgs model in a (3+ 1) isotropic spacetime, and we
found their stationary solutions using the BPS approach in curved spacetime. In order to …

We discover a new class of topological solitons. These solitons can exist in a space of
infinite volume like, eg, R n, but they cannot be placed in any finite volume because the …

We study several deformations of the Skyrme model in three dimensions with self-dual
sectors of arbitrary baryonic charge. We show that, for a family of background metrics as well …

Antes de começar a discutir o tema e o propósito desta tese, deixo abaixo o seguinte trecho
da música Trem-Bala como reflexão:“Não é sobre chegar no topo do mundo e saber que …