Information Metric on Instanton Moduli Spaces in Nonlinear Sigma Models
Abstract
We study the information metric on instanton moduli spaces in two-dimensional nonlinear sigma models. In the CP1 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 (4k2)/3; this means that the sectional curvature is -3/(4k2). We also calculate the information metric in the CP2 model.
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