Axion-dilaton cosmology, Ricci flows and integrable structures

Details Axion-dilaton cosmology, Ricci flows and integrable structures Axion-dilaton cosmology, Ricci flows and integrable structures

2007-02-01

arxiv.org/abs/hep-th/0702011v1

Nucl.Phys.Proc.Suppl.171:304-305,2007

Physics

High Energy Physics

High Energy Physics - Theory

2 pages, based on a talk given at the Cargese Summer School, May 22 to June 3, 2006

Scientific paper

10.1016/j.nuclphysbps.2007.06.04

In this work we study renormalization-group flows by deforming a class of conformal sigma-models. At leading order in $\alpha'$, 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.

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