Data & Time : Mar.25 (Wed), 4:30 pm
Place : RA312
Speaker : Goro Ishiki
Institute : Tsukuba University
Title : Matrix geometry and coherent states
Abstract : We propose a novel method of finding the classical limit of matrix geometry. We define coherent states for general matrix geometry described by D Hermitian matrices X_mu (mu =1,2, ..., D) and construct the corresponding classical space as a set of all coherent states. We also express various geometric objects on the classical space such as the metric, Levi-Civita connection, curvature and Poisson tensor, in terms of the matrix components. This method provides a new class of observables in matrix models, which characterize geometric properties of matrix configurations.