Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 8, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP08(2013)062
Keywords
Field Theories in Lower Dimensions; Solitons Monopoles and Instantons; Chiral Lagrangians; Integrable Field Theories
Categories
Funding
- Ministry of Education, Culture and Sports, Spain [FPA2008-01177]
- Xunta de Galicia [INCITE09.296.035PR]
- Xunta de Galicia (Conselleria de Educacion)
- Spanish Consolider-Ingenio Programme CPAN [CSD2007-00042]
- FEDER
- Polish NCN [2011/01/B/ST2/00464]
- CNPq-Brazil
- STFC [ST/J000426/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/J000426/1] Funding Source: researchfish
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If a scalar field theory in (1+1) dimensions possesses soliton solutions obeying first order BPS equations, then, in general, it is possible to find an infinite number of related field theories with BPS solitons which obey closely related BPS equations. We point out that this fact may be understood as a simple consequence of an appropriately generalised notion of self-duality. We show that this self-duality framework enables us to generalize to higher dimensions the construction of new solitons from already known solutions. By performing simple field transformations our procedure allows us to relate solitons with different topological properties. We present several interesting examples of such solitons in two and three dimensions.
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