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Self-dual sectors for scalar field theories in (1 + 1) dimensions

Ferreira, L.A.; Klimas, P.; Zakrzewski, Wojtek J.

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Authors

L.A. Ferreira

P. Klimas

Wojtek J. Zakrzewski



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.

Citation

Ferreira, L., Klimas, P., & Zakrzewski, W. J. (2019). Self-dual sectors for scalar field theories in (1 + 1) dimensions. Journal of High Energy Physics, 2019(1), Article 20. https://doi.org/10.1007/jhep01%282019%29020

Journal Article Type Article
Acceptance Date Dec 14, 2018
Online Publication Date Jan 3, 2019
Publication Date Jan 3, 2019
Deposit Date Jan 8, 2019
Publicly Available Date Jan 9, 2019
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2019
Issue 1
Article Number 20
DOI https://doi.org/10.1007/jhep01%282019%29020

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright 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.





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