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arXiv · 1712.08693

Supersymmetric construction of self-consistent condensates in large N GN model: solitons on finite-gap potentials

Adrián Arancibia
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Abstract

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 associated to disconnected sets of stationary solutions. How the supersymmetry arises from the Darboux-Miura transformations between Lax pairs of the stationary modified Korteweg-de Vries and the stationary Korteweg-de Vries hierarchies is shown, associating the correspondent superpotentials to self-consistent condensates for the Gross-Neveu model.

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Adrián Arancibia. 2018-08-31. Supersymmetric construction of self-consistent condensates in large N GN model: solitons on finite-gap potentials. https://doi.org/10.1103/physrevd.98.065013

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