Supersymmetric construction of self-consistent condensates in large N GN model: solitons on finite-gap potentials
arXiv:1712.08693 · doi:10.1103/PhysRevD.98.065013
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.
18 pages, 4 figure
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