Work

Strong/weak duality symmetries for Jacobi–Gordon field theory through elliptic functions

Year: 2024

Type: article

Abstract: It is shown that the standard sin/sinh Gordon field theory with the strong/weak duality symmetry of its quantum S-matrix, can be formulated in terms of elliptic functions with their duality symmetries, which will correspond to the classical realization of that quantum symmetry. Specifically we show that the so called self-dual point that divides the strong and the weak coupling regimes, corresponds only to one point of a set of fixed points under the duality transformations for the elliptic functions. Furthermore, the equations of motion can be solved in exact form in terms of the inverse elliptic functions; in spontaneous symmetry breaking scenarios, these solutions show that kink-like solitons can decay to cusp-like solitons.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8121/ad7210

Authors: R Cartas-Fuentevilla, K Peralta-Martinez, D A Zarate-Herrada, J L A Calvario-Acocal

Institutions: Benemérita Universidad Autónoma de Puebla, Benito Juárez Autonomous University of Oaxaca

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,165

Funder: Consejo Nacional de Ciencia y Tecnología