In the matrix model approaches of string/M theories, one starts from a generic symmetry gl(infty) to reproduce the space-time manifold.
In this talk, we propose the generalization in which the space-time manifold emerges from a gauge symmetry algebra which is not necessarily gl(infty).
We focus on the second nontrivial example after the toroidal compactification, the coset space G/H, and propose a specific infinite- dimensional symmetry which realizes the geometry.
It consists of the gauge-algebra valued functions on the coset and Lorentzian generator pairs associated with the isometry.
We show that the 0-dimensional gauge theory with the mass and Chern- Simons terms gives the gauge theory on the coset with scalar fields associated with H.