42 citations · 192 across the 8 of their papers we have counts for
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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…
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…