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

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...

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Veröffentlicht in:	Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2024-10, Vol.57 (38), p.385201
Hauptverfasser:	Cartas-Fuentevilla, R, Peralta-Martinez, K, Zarate-Herrada, D A, Calvario-Acocal, J L A
Format:	Artikel
Sprache:	eng
Schlagworte:	exact solutions field theories in lower dimensions Jacobi elliptic functions nonlinear equations solitons, duality symmetries, self-dual points
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creator	Cartas-Fuentevilla, R Peralta-Martinez, K Zarate-Herrada, D A Calvario-Acocal, J L A
description	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.
doi_str_mv	10.1088/1751-8121/ad7210
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subjects	exact solutions field theories in lower dimensions Jacobi elliptic functions nonlinear equations solitons, duality symmetries, self-dual points
title	Strong/weak duality symmetries for Jacobi–Gordon field theory through elliptic functions
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