Information metric on instanton moduli spaces in nonlinear σ models
نویسنده
چکیده
We study the information metric on instanton moduli spaces in two-dimensional nonlinear σ models. In the CP 1 model, the information metric on the moduli space of one instanton with the topological charge Q = k (k ≥ 1) 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.
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