期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 7, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP07(2019)150
关键词
Nonperturbative Effects; Solitons Monopoles and Instantons; Effective Field Theories
资金
- Ministry of Education, Culture, and Sports, Spain [FPA2017-83814-P]
- Xunta de Galicia [IN-CITE09.296.035PR]
- Xunta de Galicia (Conselleria de Educacion)
- Spanish Consolider-Ingenio 2010 Programme CPAN [CSD2007-00042]
- FEDER
- Maria de Maetzu Unit of Excellence [MDM-2016-0692]
We find a family of (half) self-dual impurity models such that the self-dual (BPS) sector is exactly solvable, for any spatial distribution of the impurity, both in the topologically trivial case and for kink (or antikink) configurations. This allows us to derive the metric on the corresponding one-dimensional moduli space in an analytical form. Also the generalized translational symmetry is found in an exact form. This symmetry provides a motion on moduli space which transforms one BPS solution into another. Finally, we analyse exactly how vibrational properties (spectral modes) of the BPS solutions depend on the actual position on moduli space. These results are obtained both for the nontrivial topological sector (kinks or antikinks) as well as for the topologically trivial sector, where the motion on moduli space represents a kink-antikink annihilation process.
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