Information Metric on Instanton Moduli Spaces in Nonlinear Sigma Models
Data Analysis, Statistics and Probability
2009-11-10 v2 High Energy Physics - Theory
Abstract
We study the information metric on instanton moduli spaces in two-dimensional nonlinear sigma models. In the CP^1 model, the information metric on the moduli space of one instanton with the topological charge Q=k which is any positive integer is a three-dimensional hyperbolic metric, which corresponds to Euclidean anti--de Sitter space-time metric in three dimensions, and the overall scale factor of the information metric is (4k^2)/3; this means that the sectional curvature is -3/(4k^2). We also calculate the information metric in the CP^2 model.
Keywords
Cite
@article{arxiv.physics/0307131,
title = {Information Metric on Instanton Moduli Spaces in Nonlinear Sigma Models},
author = {Shigeaki Yahikozawa},
journal= {arXiv preprint arXiv:physics/0307131},
year = {2009}
}
Comments
9 pages, LaTeX; added references for section 1; typos added