Stabilisation of Seven Directions in an Early Universe M -- theory Model

Abstract

Our model consists of intersecting 22'55' branes in M theory distributed uniformly in the common transverse space. Equations of state follow from U duality symmetries. In this model, three spatial directions expand, and seven directions stabilise to constant sizes. From string theory perspective, the dilaton is hence stabilised. The constant sizes depend on certain imbalance among initial values. One naturally obtains M_{11} \simeq M_s \simeq M_4 and g_s \simeq 1 within a few orders of magnitude. Smaller numbers, for example M_s \simeq 10^{- 16} M_4, are also possible but require fine tuning.

11 Pagesl. Latex file. Version 2: Minor changes and a reference added. Version 3: Title changed; many textual modifications, mainly to keep within journal's length constraints, and to explain the differences between brane gas models and intersecting brane configurations used here; references added. To appear in Physical Review D (Rapid communications)

References in corpus (7)

• Why do we live in 3+1 dimensions?
• Fractional Brane State in the Early Universe
• A Principle to Determine the Number (3 + 1) of Large Spacetime Dimensions
• Consequences of U dualities for Intersecting Branes in the Universe
• Entropy of Anisotropic Universe and Fractional Branes
• What is the state of the Early Universe?
• Moduli fixing and T-duality in Type II brane gas models