Geometry from Matrices via D-branes

Abstract

In this paper, we give a map from matrices to a commutative geometry from a bound state of a D2-brane and N D0-branes. For this, tachyons in auxiliary unstable D-brane system describing the bound state play crucial roles. We found the map obtained in this way coincides with the recent proposals. We also consider the map from the geometry to matrices in a large N limit and argue that the map is a matrix regularization of geometry.

15 pages, corrected typos, comments added, minor corrections

References in corpus (3)

• Measuring finite Quantum Geometries via Quasi-Coherent States
• Kähler structure in the commutative limit of matrix geometry
• Ramond-Ramond couplings of D-branes

Cited by in corpus (5)

• Information metric, Berry connection and Berezin-Toeplitz quantization for matrix geometry
• The matrix regularization for Riemann surfaces with magnetic fluxes
• Laplacians on Fuzzy Riemann Surfaces
• Diffeomorphisms on Fuzzy Sphere
• On matrix description of D-branes