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Kink-kink solutions in Bogomol'nyi-Prasad-Sommerfield impurity models
1Jagiellonian University, Institute of Theoretical Physics, Lojasiewicza 11, Kraków, Poland.
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.
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