Axion-dilaton cosmology, Ricci flows and integrable structures
High Energy Physics - Theory
2008-11-26 v1
Abstract
In this work we study renormalization-group flows by deforming a class of conformal sigma-models. At leading order in , renormalization-group equations represent a Ricci flow. In the three-sphere background, the latter is described by the Halphen system, which is exactly solvable in terms of modular forms. The round sphere is found to be the unique perturbative infra-red fixed point at one loop order.
Keywords
Cite
@article{arxiv.hep-th/0702011,
title = {Axion-dilaton cosmology, Ricci flows and integrable structures},
author = {Domenico Orlando},
journal= {arXiv preprint arXiv:hep-th/0702011},
year = {2008}
}
Comments
2 pages, based on a talk given at the Cargese Summer School, May 22 to June 3, 2006