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

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

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
• Electronic ISSN: 1029-8479
• 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
• Public URL: https://durham-repository.worktribe.com/output/1310413