Impurities preserving half the BPS sectors induce compact or half-compact stable vacuumless kinks in scalar models, which cannot form in impurity-free canonical cases.
Vortices in vacuumless systems
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abstract
We investigate the presence of vortex solutions in potentials without vacuum state. The study is conducted considering Maxwell and Chern-Simons dynamics. Also, we use a first order formalism that helps us to find the solutions and their respective electromagnetic fields and energy densities. As a bonus, we get to calculate the energy without knowing the explicit solutions. Even though the solutions present a large "tail" which goes far away from the origin, the magnetic flux remains a well defined topological invariant.
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hep-th 1years
2026 1verdicts
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Compact structures in impurity-doped vacuumless systems
Impurities preserving half the BPS sectors induce compact or half-compact stable vacuumless kinks in scalar models, which cannot form in impurity-free canonical cases.