Ferreira, L. A. and Klimas, P. and Zakrzewski, Wojtek J. (2019) 'Self-dual sectors for scalar field theories in (1 + 1) dimensions.', Journal of high energy physics., 2019 (1). 020.
We use ideas of generalized self-duality conditions to construct real scalar field theories in (1 + 1)-dimensions with exact self dual sectors. The approach is based on a pre-potential U that defines the topological charge and the potential energy of these theories. In our algebraic method to construct the required pre-potentials we use the representation theory of Lie groups. This approach leads naturally to an infinite set of degenerate vacua and so to topologically non-trivial self-dual solutions of these models. We present explicit examples for the groups SU(2), SU(3) and SO(5) and discuss some properties of these solutions.
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|Publisher Web site:||https://doi.org/10.1007/JHEP01(2019)020|
|Publisher statement:||This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.|
|Date accepted:||14 December 2018|
|Date deposited:||09 January 2019|
|Date of first online publication:||03 January 2019|
|Date first made open access:||No date available|
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