On solitons with an Abelian charge in scalar field theories

Montonen, C.

doi:10.1016/0550-3213(76)90537-x

Cited by 85 publications

(81 citation statements)

References 4 publications

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“…By considering the doublets of these fields with equal or different masses [56,57], one could expect that the studied supersymmetric structure may reveal itself somehow at the level of the symmetries of the corresponding kink solutions.…”

Section: Discussion and Outlookmentioning

confidence: 99%

Effect of scalings and translations on the supersymmetric quantum mechanical structure of soliton systems

2013

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We investigate a peculiar supersymmetry of the pairs of reflectionless quantum mechanical systems described by n-soliton potentials of a general form that depends on n scaling and n translation parameters. We show that if all the discrete energy levels of the subsystems are different, the superalgebra, being insensitive to translation parameters, is generated by two supercharges of differential order 2n, two supercharges of order 2n + 1, and two bosonic integrals of order 2n+1 composed from Lax integrals of the partners. The exotic supersymmetry undergoes a reduction when r discrete energy levels of one subsystem coincide with any r discrete levels of the partner, the total order of the two independent intertwining generators reduces then to 4n − 2r + 1, and the nonlinear superalgebraic structure acquires a dependence on r relative translations. For a complete pairwise coincidence of the scaling parameters which control the energies of the bound states and the transmission scattering amplitudes, the emerging isospectrality is detected by a transmutation of one of the Lax integrals into a bosonic central charge. Within the isospectral class, we reveal a special case giving a new family of finite-gap first order Bogoliubov-de Gennes systems related to the AKNS integrable hierarchy.

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Section: Discussion and Outlookmentioning

confidence: 99%

Effect of scalings and translations on the supersymmetric quantum mechanical structure of soliton systems

2013

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“…The characteristics of any of these kink defects as well as the structure of the variety as a whole have been elucidated in a long series of papers, see References [2][3][4][5][6][7][8][9][10][11][12]. The moduli space of kinks in an analogous deformation of the linear O(3)-sigma model has also been fully described in [13].…”

Section: Introductionmentioning

confidence: 99%

Kink variety in systems of two coupled scalar fields in two space-time dimensions

2002

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“…Within a given range of the deformation parameter, the modified O(2) linear sigma model that we shall consider is the celebrated Montonen-Sarker-Trullinger-Bishop ( MSTB ) model [3]. Over the years, several kinds of kink solitary waves with very noticeable properties have been discovered in this system , [4].…”

Section: Introductionmentioning

confidence: 99%