Brany Liouville inflation

Brany Liouville Inflation

We present a specific model for cosmological inflation driven by the Liouville field in a non-critical supersymmetric string framework, in which the departure from criticality is due to open strings stretched between two moving Type-II 5-branes. We use WMAP and other data on fluctuations in the cosmic microwave background to fix parameters of the model, such as the relative separation and veloc...

Is Our Universe Brany ?

Brane-world models, which have received a lot of attention during the last few years, are essentially characterized by two basic ideas: • they assume the existence of spatial extra dimensions, in addition to our four space-time dimensions. The higher dimensional spacetime is usually called the “bulk” spacetime; • our accessible Universe is assumed to be a submanifold, called “brane”, embedded i...

Liouville numbers

In this work, we define the concept of Liouville numbers as well as the standard construction to obtain Liouville numbers and we prove their most important properties: irrationality and transcendence. This is historically interesting since Liouville numbers constructed in the standard way where the first numbers that were proven to be transcendental. The proof is very elementary and requires on...

The Relation Between Inflation and Inflation Uncertainty In Iran

Liouville Lost, Liouville Regained: Central Charge in a Dynamical Background

Several recent approaches to black hole entropy obtain the density of states from the central charge of a Liouville theory. If Liouville theory is coupled to a dynamical spacetime background, however, the classical central charge vanishes. I show that the central charge can be restored by introducing appropriate constraints, which may be interpreted as fall-off conditions at a boundary such as ...