Kink-kink solutions in Bogomol'nyi-Prasad-Sommerfield impurity models.
basic_science · Level V
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- Record sourced from PubMed, PMID 39972808.
- Also identified by DOI 10.1103/PhysRevE.111.014228.
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Abstract
We show that BPS-impurity theories may support BPS kink-kink solutions, i.e., an energetically degenerated family of solutions describing two kinks at any mutual distance. This requires a singular impurity. As an example we consider the sine-Gordon and ϕ^{6} models coupled with such a BPS impurity. Interestingly, obtained solutions are identical to double sine-Gordon kinks and Christ-Lee kinks, respectively. We also study the spectral flow on the moduli space. All the modes have an odd number of nodes to cancel the singularity of the impurity.