Extended multi-scalar field theories in (1+1) dimensions
High Energy Physics - Theory
2020-12-16 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We present the explicit construction of some multi-scalar field theories in (1+1) dimensions supporting BPS (Bogomol'nyi--Prasad--Sommerfield) kink solutions. The construction is based on the ideas of the so-called extension method. In particular, several new interesting two-scalar and three-scalar field theories are explicitly constructed from non-trivial couplings between well-known one-scalar field theories. The BPS solutions of the original one-field systems will be also BPS solutions of the multi-scalar system by construction, and therefore we will analyse their linear stability properties for the constructed models.
Cite
@article{arxiv.2008.11307,
title = {Extended multi-scalar field theories in (1+1) dimensions},
author = {A. R. Aguirre and E. S. Souza},
journal= {arXiv preprint arXiv:2008.11307},
year = {2020}
}
Comments
49 pages, 14 figures