The Thurston compactification of Teichmüller spaces has been generalized to many different representation spaces by J. Morgan, P. Shalen, M. Bestvina, F. Paulin, A. Parreau and others. In the simplest case of representations of fundamental groups of closed hyperbolic surfaces in PSL(2,R), we prove that this compactification is very degenerated: the nice behaviour of the Thurston compactificatio...

In 6D orbifold compactifications of N=1 supersymmetric gauge theories, the one-loop behaviour of the 4D effective gauge coupling and of its beta function are carefully investigated for momentum scales k near the compactification scale(s). It is showed that as k is crossing the compactification scale(s), there exists a smooth transition (“crossover”) to a power-like behaviour of the 4D effective...

It is shown that the nature of compactification of extra dimensions in theories of large radius compactification can be explored in several processes at the Large Hadron Collider (LHC). Specifically it is shown that the characteristics of the Kaluza-Klein (KK) excitations encode information on the nature of compactification, i.e., on the number of compactified dimensions as well as on the type ...

In this paper we try to improve the current state of understanding concerning models of spaces with Scott domains. The main result given is that any developable space which has a model by a Scott domain must be Cech-complete. An important consequence is that any metric space homeomorphic to the maximal elements of a Scott domain must be completely metrizable.

A living cell requires thousands of different chemical reactions to utilize energy, move, grow, respond to external stimuli and reproduce itself. While these reactions take place spontaneously, they rarely proceed at a rate fast enough for life. Enzymes, biological catalysts found in all cells, greatly accelerate the rates of these chemical reactions and impart on them extraordinary specificity...