T and S dualities and The cosmological evolution of the dilaton and the scale factors
arXiv:hep-th/0701029 · doi:10.1140/epjc/s10052-007-0402-8
Abstract
Cosmologically stabilizing radion along with the dilaton is one of the major concerns of low energy string theory. One can hope that T and S dualities can provide a plausible answer. In this work we study the impact of S and T duality invariances on dilaton gravity. We have shown various instances where physically interesting models arise as a result of imposing the mentioned invariances. In particular S duality has a very privileged effect in that the dilaton equations partially decouple from the evolution of the scale factors. This makes it easy to understand the general rules for the stabilization of the dilaton. We also show that certain T duality invariant actions become S duality invariance compatible. That is they mimic S duality when extra dimensions stabilize.
arXiv commentCorrected a misleading interpretation of the S duality transformation and a wrong comment on d=10. I thank A.Kaya for pointing this out to me in time. So the new version is dealing with d=10 only. Added references and corrected some typos. Minor re-editing. Omitted a section for elaboration in a further study. Corrected further typos
References in corpus (24)
- Elements of String Cosmology
- Brane Gases in the Early Universe
- String Gas Cosmology
- Moduli Stabilization with the String Higgs Effect
- Stabilization of Extra Dimensions at Tree Level
- Classical Stabilization of Homogeneous Extra Dimensions
- Radion Stabilization by Stringy Effects in General Relativity
- A Cosmological Mechanism for Stabilizing Moduli
- Brane Gases on K3 and Calabi-Yau Manifolds
- The Cosmology of Massless String Modes
- Cosmological stabilization of moduli with steep potentials
- Moduli Stabilization in String Gas Cosmology
- Moduli Stabilization in Brane Gas Cosmology with Superpotentials
- Dilaton Dynamics from Production of Tensionless Membranes
- Late-time dynamics of brane gas cosmology
- Wrapped Branes and Compact Extra Dimensions in Cosmology
- Dilaton Stabilization in Brane Gas Cosmology
- Moduli Stabilization and Inflation Using Wrapped Branes
- D-brane Gases and Stabilization of Extra Dimensions in Dilaton Gravity
- The Effect of alpha' Corrections in String Gas Cosmology
- Brane Gases and Stabilization of Shape Moduli with Momentum and Winding Stress
- Intersection Democracy for Winding Branes and Stabilization of Extra Dimensions
- Vibrating Winding Branes, Wrapping Democracy and Stabilization of Extra Dimensions in Dilaton Gravity
- Linear Cosmological Perturbations in D-brane Gases