N=4 super KdV hierarchy in N=4 and N=2 superspaces

N = 4 super KdV hierarchy in N = 4 and N = 2 superspaces

We present the results of further analysis of the integrability properties of the N = 4 supersymmetric KdV equation deduced earlier by two of us (F.D. & E.I., Phys. Lett. B 309 (1993) 312) as a hamiltonian flow on N = 4 SU(2) superconformal algebra in the harmonic N = 4 superspace. To make this equation and the relevant hamiltonian structures more tractable, we reformulate it in the ordinary N ...

ENANO n4 ULTIMO.qxd

Movable (n4) Configurations

An (nk) configuration is a collection of points and straight lines, usually in the Euclidean plane, so that each point lies on k lines and each line passes through k points; such a configuration will be called symmetric if it possesses non-trivial geometric symmetry. Although examples of symmetric (n3) configurations with continuous parameters are known, to this point, all known connected infin...

Priestley duality for N4-lattices

We present a new Priestley-style topological duality for bounded N4-lattices, which are the algebraic counterpart of paraconsistent Nelson logic. Our duality differs from the existing one, due to Odintsov, in that we only rely on Esakia duality for Heyting algebras and not on the duality for De Morgan algebras of Cornish and Fowler. A major advantage of our approach is that for our topological ...

Dualities for modal N4-lattices

We introduce a new Priestley-style topological duality for N4-lattices, which are the algebraic counterpart of paraconsistent Nelson logic. Our duality differs from the existing one, due to S. Odintsov, in that we only rely on Esakia duality for Heyting algebras and not on the duality for De Morgan algebras of Cornish and Fowler. A major advantage of our approach is that we obtain a simple desc...