We introduce a particle mechanics model with Sp(2M) gauge invariance. Different partial gauge-fixings by means of sl(2) embeddings on the gauge algebra lead to reduced models which are invariant under diffeomorphisms and classical non-linear W-transformations as the residual gauge symmetries thus providing a set of models of gauge and matter fields coupled in a W-invariant way. The equations of...

The technique of Darboux transformation is applied to nonlocal partner of two– dimensional periodic An−1 Toda lattice. This system is shown to admit a representation as the compatibility conditions of direct and dual overdetermined linear systems with quantized spectral parameter. The generalization of the Darboux transformation technique on linear equations of such a kind is given. The connect...

For the autonomous kth order difference equation xn+k = f(xn, xn+1, . . . , xn+k−1), where f ∈ C[U ] with domain U ⊂ R, a global first integral/invariant for this difference equation is a nonconstant function H ∈ C[U ], with H : U → R, which remains invariant on the forward orbit Γ(x0, x1, . . . , xk−1). If a first integral exists, then it satisfies a particular functional difference equation a...

This paper analyzes spacetime symmetries of topological string theory on a two dimensional torus, and points out that the spacetime geometry of the model is that of the Batalin-Vilkovisky formalism. Previously I found an infinite symmetry algebra in the absolute BRST cohomology of the model. Here I find an analog of the BV ∆ operator, and show that it defines a natural semirelative BRST cohomol...

A set of Maple V R.3/4 computer algebra routines for the analytical solving of 1 order ODEs, using Lie group symmetry methods, is presented. The set of commands includes a 1 order ODEsolver and routines for, among other things: the explicit determination of the coefficients of the infinitesimal symmetry generator; the construction of the most general invariant 1 order ODE under given symmetries...

different symmetries play a role in understanding the meaning of a sentence. syntacticians have been aware of this issue and have used a variety of symmetries in their analyses. when the arabic syntax became familiar with the aristotelian logic and received some philosophical issues, most of the syntacticians focused upon the arabic symmetry and few attentions were directed towards other symmet...

It is well known that provided scalar (1+1)-dimensional evolution equation possesses the infinitedimensional commutative Lie algebra of time-independent non-classical symmetries, it is either linearizable or integrable via inverse scattering transform [1, 2]. The standard way to prove the existence of such algebra is to construct the recursion operator [2]. But Fuchssteiner [3] suggested an alt...

The Noether symmetry of a generic f(R) cosmological model is investigated by utilizing the behavior of the corresponding Lagrangian under the infinitesimal generators of the desired symmetry. We explicitly calculate the form of f(R) for which such symmetries exist. It is shown that the resulting form of f(R) yields a power law expansion for the cosmological scale factor. We also obtain the effe...

A bstract We examine the BCFW recursion relations for celestial amplitudes and how they inform bootstrap program. start by recasting incarnation of shift as a generalization action familiar asymptotic symmetries on hard particles, before focusing two limits: z → ∞ 0. then discuss CFT data encodes large- behavior determining which shifts are allowed, while infinitesimal limit is tied to program ...

In this study, the Lie symmetry analysis is given for time-fractional telegraph equation with Riemann–Liouville derivative. This useable to describe physical processes of models possessing memory. By applying classical and nonclassical α , β derivatives some technical computations, new infinitesimal gen...