Abstract In this paper, we characterize all discrete-time systems in quasi-standard form admitting coalgebra symmetry with respect to the Lie–Poisson algebra h 6 . The outcome of study is a family depending on an arbitrary function three variables, playing rôle potential. Moreover, using direct search approach, classify from that admit additional invariant at most quadratic physical variables. We discuss integrability properties obtained cases, their relationship known systems, and continuum...

We investigate a deformation of w1+∞ algebra recently introduced in [1] the context Celestial CFT that we denote by W˜1+∞ algebra. obtain operator product expansions generating currents this and explore its supersymmetric topological generalizations.

In this paper, we characterize all discrete-time systems in quasi-standard form admitting coalgebra symmetry with respect to the Lie--Poisson algebra $\mathfrak{h}_{6}$. The outcome of study is a family depending on an arbitrary function three variables, playing r\^ole potential. Moreover, using direct search approach, classify from that admit additional invariant at most quadratic physical variables. We discuss integrability properties obtained cases, their relationship known systems, and...

To define time in the homogeneous anisotropic Bianchi-IX model of universe, we propose a classical equation motion proper universe as an additional gauge condition. This is law conservation energy. As result, new parameter, called “mass” appears. parameter added to anisotropy energy and regarded observed quantity. The decisive when it comes dynamics its origin.

We investigate a deformation of $w_{1+\infty}$ algebra recently introduced in arxiv:2111.11356 the context Celestial CFT that we denote by $\widetilde{W}_{1+\infty}$ algebra. obtain operator product expansions generating currents this and explore its supersymmetric topological generalizations.