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Construction of type-II Bäcklund transformation for the mKdV hierarchy
(2015-09-14)
From an algebraic construction of the mKdV hierarchy we observe that the space component of the Lax operator plays the role of a universal algebraic object. This fact induces the universality of a gauge transformation that ...
Quasimodular instanton partition function and the elliptic solution of Korteweg-de Vries equations
(Elsevier B.V., 2015-02-01)
The Gauge/Bethe correspondence relates Omega-deformed N = 2 supersymmetric gauge theories to some quantum integrable models, in simple cases the integrable models can be treated as solvable quantum mechanics models. For ...
Supersymmetry flows, semi-symmetric space sine-Gordon models and the Pohlmeyer reduction
(Springer, 2011-03-01)
We study the extended supersymmetric integrable hierarchy underlying the Pohlmeyer reduction of superstring sigma models on semi-symmetric superspaces F/G. This integrable hierarchy is constructed by coupling two copies ...
Supersymmetry flows, semi-symmetric space sine-Gordon models and the Pohlmeyer reduction
(Springer, 2011-03-01)
We study the extended supersymmetric integrable hierarchy underlying the Pohlmeyer reduction of superstring sigma models on semi-symmetric superspaces F/G. This integrable hierarchy is constructed by coupling two copies ...
Self-dual hopfions
(Springer, 2010-03-01)
We construct static and time-dependent exact soliton solutions with nontrivial Hopf topological charge for a field theory in 3 + 1 dimensions with the target space being the two dimensional sphere S(2). The model considered ...
Exact time dependent Hopf solitons in 3+1 dimensions
(2006-03-01)
We construct an infinite number of exact time dependent soliton solutions, carrying non-trivial Hopf topological charges, in a 3+1 dimensional Lorentz invariant theory with target space S2. The construction is based on an ...