Speaker
Dr
Etsuko Itou
(Kyoto University, YITP)
Description
We construct novel conformal sigma models in three dimensions. Nonlinear sigma models
in three dimensions are nonrenormalizable in perturbation theory. We use Wilsonian
renormalization group equation method to find the fixed points. Existence of fixed
points is extremely important in this approach to show the renormalizability.
Conformal sigma models are defined as the fixed point theories of the Wilsonian
renormalization group equation. The Wilsonian renormalization group equation with
anomalous dimension coincides with the modified Ricci flow equation. The conformal
sigma models are characterized by one parameter which corresponds to the anomalous
dimension of the scalar fields. Any Einstein-K\"{a}hler manifold corresponds to a
conformal field theory when the anomalous dimension is $\gamma=-1/2$. Furthermore, we
investigate the properties of target spaces in detail for two dimensional case, and
find the target space of the fixed point theory becomes compact or noncompact
depending on the value of the anomalous dimension.
Author
Dr
Etsuko Itou
(Kyoto University, YITP)
Co-authors
Prof.
Kiyoshi Higashijima
(Osaka University)
Mr
Takeshi Higashi
(Osaka University)
