42 citations · 192 across the 8 of their papers we have counts for
8 papers
Supersymmetric construction of self-consistent condensates in large N GN model: solitons on finite-gap potentials
Adrián Arancibia
In the present work, the set of stationary solutions of the Gross-Neveu model in 't Hooft limit is extended. Such extension is obtained by striving a hidden supersymmetry associate…
Chiral asymmetry in propagation of soliton defects in crystalline backgrounds
Adrian Arancibia, Mikhail S. Plyushchay
By applying Darboux-Crum transformations to a Lax pair formulation of the Korteweg-de Vries (KdV) equation, we construct new sets of multi-soliton solutions to it as well as to the…
Soliton defects in one-gap periodic system and exotic supersymmetry
Adrian Arancibia, Francisco Correa, Vit Jakubsky +2
By applying Darboux-Crum transformations to the quantum one-gap Lame system, we introduce an arbitrary countable number of bound states into forbidden bands. The perturbed potentia…
Transmutations of supersymmetry through soliton scattering, and self-consistent condensates
Adrian Arancibia, Mikhail S. Plyushchay
We consider the two most general families of the (1+1)D Dirac systems with transparent scalar potentials, and two related families of the paired reflectionless Schrodinger operator…
Fermion in a multi-kink-antikink soliton background, and exotic supersymmetry
Adrian Arancibia, Juan Mateos Guilarte, Mikhail S. Plyushchay
We construct a fermion system in a multi-kink-antikink soliton background, and present in an explicit form all its trapped configurations (bound state solutions) as well as scatter…
Effect of scalings and translations on the supersymmetric quantum mechanical structure of soliton systems
Adrian Arancibia, Juan Mateos Guilarte, Mikhail S. Plyushchay
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…
Extended supersymmetry of the self-isospectral crystalline and soliton chains
Adrian Arancibia, Mikhail S. Plyushchay
We study supersymmetric structure of the self-isospectral crystalline chains formed by N copies of the mutually displaced one-gap Lame systems. It is generated by the N(N-1) integr…
Exotic supersymmetry of the kink-antikink crystal, and the infinite period limit
Mikhail S. Plyushchay, Adrian Arancibia, Luis-Miguel Nieto
Some time ago, Thies et al. showed that the Gross-Neveu model with a bare mass term possesses a kink-antikink crystalline phase. Corresponding self-consistent solutions, known earl…