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Many-particle mechanics with D(2,1;alpha) superconformal symmetry
Many-particle mechanics superconformal symmetry
2011/3/3
We overcome the barrier of constructing N=4 superconformal models in one space dimension for
more than three particles. The D(2, 1; ) superalgebra of our systems is realized on the coordinates and m...
Scalar--flat Kähler metrics with conformal Bianchi V symmetry
General Relativity and Quantum Cosmology (gr-qc) High Energy Physics - Theory (hep-th) Differential Geometry (math.DG) Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/11
We provide an affirmative answer to a question posed by Tod \cite{Tod:1995b}, and construct all four-dimensional Kahler metrics with vanishing scalar curvature which are invariant under the conformal ...
Symmetry breaking: A tool to unveil the topology of chaotic scattering with three degrees of freedom
Chaotic Dynamics (nlin.CD)
2010/11/10
We shall use symmetry breaking as a tool to attack the problem of identifying the topology of chaotic scatteruing with more then two degrees of freedom. specifically we discuss the structure of the ho...
Symmetry classification of third-order nonlinear evolution equations. Part I: Semi-simple algebras
Exactly Solvable and Integrable Systems(nlin.SI) Mathematical Physics(math-ph)
2010/11/10
We give a complete point-symmetry classification of all third-order evolution equations of the form $u_t=F(t,x,u,u_x, u_{xx})u_{xxx}+G(t,x,u,u_x, u_{xx})$ which admit semi-simple symmetry algebras and...
We find a general solution to the unique 7th order ODE admitting ten dimensional group of contact symmetries. The integral curves of this ODE are rational contact curves in $\PP^3$ which give rise to ...