This paper address a new vision for the generalized Mittag-Leffler stability of the fractional differential equations. We mainly focus on a new method, consisting of decomposing a given fractional differential equation into a cascade of many sub-fractional differential equations. And we propose a procedure for analyzing the generalized Mittag-Leffler stability for the given fractional different...

This paper is an introduction to dynamics of dianalytic self-maps of nonorientable Klein surfaces. The main theorem asserts that dianalytic dynamics on Klein surfaces can be canonically reduced to dynamics of some classes of analytic self-maps on their orientable double covers. A complete list of those maps is given in the case where the respective Klein surfaces are the real projective plane, ...

In a minimal model of universal extra dimensions the lightest Kalzua-Klein particle is neutral and stable because of Kaluza-Klein parity conservation and it is a dark matter candidate. The corresponding level 2 mode of the lightest Kaluza-Klein particle can be detected via KK number violating decays to Standard Model particles. The expected sensitivity to second level Kaluza-Klein modes of neut...

Models of Universal Extra Dimensions (UED) at the TeV scale lead to the presence of Kaluza Klein (KK) excitations of the ordinary fermions and bosons of the Standard Model that may be observed at hadron and lepton colliders. A conserved discrete symmetry, KK-parity, ensures the stability of the lightest KK particle (LKP), which, if neutral, becomes a good dark matter particle. It has been recen...

de Sitter inflationary expansion from a noncompact KK theory: a nonperturbative quantum (scalar) field formalism Abstract We develop a nonperturbative quantum scalar field formalism from a non-compact Kaluza-Klein (KK) theory using the induced-matter theory of gravity during inflation. We study the particular case of a de Sitter expansion for the universe.

We consider Kaluza Klein reductions of M-theory on the ZN orbifold of the spin bundle over S along two different U(1) isometries. The first one gives rise to the familiar “large N duality” of the N = 1 SU(N) gauge theory in which the UV is realized as the world-volume theory of N D6-branes wrapped on S, whereas the IR involves N units of RR flux through an S. The second reduction gives an equiv...

We construct a Chern-Simons type gauged N = 8 supergravity in three spacetime dimensions with gauge group SO(4) × T∞ over the infinite dimensional coset space SO(8,∞)/ (SO(8)× SO(∞)), where T∞ is an infinite dimensional translation subgroup of SO(8,∞). This theory describes the effective interactions of the (infinitely many) supermultiplets contained in the two spin-1 Kaluza-Klein towers arisin...

We discuss in detail the information on large extra dimensions which can be derived in the framework of stellar evolution theory and observation. The main effect of large extra dimensions arises from the production of the Kaluza-Klein (KK) excitations of the graviton. The KK-graviton and matter interactions are of gravitational strength, so the KK states never become thermalized and always free...

We obtain new results for consistent braneworld Kaluza-Klein reductions, showing how we can derive four-dimensional N = 2 gauged supergravity " localised on the AdS 4 brane " as an exact embedding in five-dimensional N = 4 gauged supergravity. Similarly, we obtain five-dimensional N = 2 gauged supergravity localised on an AdS 5 brane as a consistent Kaluza-Klein reduction from six-dimensional N...