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Canonical gauge equivalences of the sAKNS and sTB hierarchies

1997/12/18 by Jiin-Chang Shaw, Ming-Hsien Tu
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Gauge (firearms) #Gauge theory #Geography #Hamiltonian (control theory) #Hamiltonian lattice gauge theory #Hierarchy #Law #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Political science #Pure mathematics #Quantum Mechanics and Non-Hermitian Physics #Supersymmetric gauge theory #Theoretical physics #nlin.SI #solv-int

paper · pdf · doi:10.1088/0305-4470/31/30/016

published as J.Phys.A31:6517,1998 · 10 pages, Revtex, no figures

arxiv created 1997/12/18 · openalex publication_date 1998/07/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the gauge transformations between the supersymmetric AKNS (sAKNS) and supersymmetric two-boson (sTB) hierarchies. The Hamiltonian nature of these gauge transformations is investigated, which turns out to be canonical. We also obtain the Darboux-Bäcklund transformations for the sAKNS hierarchy from these gauge transformations.

Citations