Kink-kink solutions in BPS impurity models
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916319753928704 |
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| author | Sławińska, Katarzyna |
| author_facet | Sławińska, Katarzyna |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18296 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kink-kink solutions in BPS impurity models Sławińska, Katarzyna High Energy Physics - Theory Mathematical Physics 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. |
| title | Kink-kink solutions in BPS impurity models |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2406.18296 |