T and S dualities and the cosmological evolution of the dilaton and the scale factors
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 the extra dimensions stabilize.
 Publication:

European Physical Journal C
 Pub Date:
 November 2007
 DOI:
 10.1140/epjc/s1005200704028
 arXiv:
 arXiv:hepth/0701029
 Bibcode:
 2007EPJC...52..683R
 Keywords:

 High Energy Physics  Theory
 EPrint:
 Corrected 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 reediting. Omitted a section for elaboration in a further study. Corrected further typos