Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference30 articles.
1. N.S. Manton and P. Sutcliffe, Topological solitons, Cambridge Monographs on Mathematical Physics, (2004).
2. Y.M. Shnir, Topological and Non-Topological Solitons in Scalar Field Theories, Cambridge University Press (2018).
3. W.J. Zakrzewski, Low Dimensional Sigma Models, Adam Hilger, (1989).
4. E.B. Bogomolnyi, The stability of Classical Solutions, Sov. J. Nucl. Phys.
24 (1976) 449.
5. M.K. Prasad and C.M. Sommerfield, An Exact Classical Solution for the ’t Hooft Monopole and the Julia-Zee Dyon, Phys. Rev. Lett.
35 (1975) 760 [INSPIRE].
Cited by
21 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献