Abstract
We propose a novel method of finding the classical limit of the matrix geometry. We define coherent states for a general matrix geometry described by a large- sequence of Hermitian matrices and construct a corresponding classical space as a set of all coherent states. When the classical space forms a smooth manifold, 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 elements. This method provides a new class of observables in matrix models, which characterize geometric properties of matrix configurations.
- Received 10 June 2015
DOI:https://doi.org/10.1103/PhysRevD.92.046009
© 2015 American Physical Society