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.
Abstract
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.
| Item Type: | Article |
|---|---|
| Full text: | (VoR) Version of Record Available under License - Creative Commons Attribution. Download PDF (4225Kb) |
| Status: | Peer-reviewed |
| 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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