Bosonic Matrix Theory and Matrix Dbranes

TL;DR

This paper develops new tools for Matrix Theory, constructing anomaly-free limits matching string theory ground states, and explores the symmetry and charge structures necessary for consistent large N matrix models.

Contribution

It introduces a framework for analyzing Matrix Theory ground states with complex symmetry and charge properties, extending the understanding of matrix D-branes and their effective actions.

Findings

Constructed anomaly-free, finite planar limits matching string ground states.

Demonstrated large N limits relate to spacetime effective actions for various D-brane configurations.

Identified the charge and symmetry conditions necessary for matrix Lorentz algebra closure.

Abstract

We develop new tools for an in-depth study of our recent proposal for Matrix Theory. We construct the anomaly-free and finite planar continuum limit of the ground state with SO(2^{13}) symmetry matching with the tadpole and tachyon free IR stable high temperature ground state of the open and closed bosonic string. The correspondence between large N limits and spacetime effective actions is demonstrated more generally for an arbitrary D25brane ground state which might include brane-antibrane pairs or NS-branes and which need not have an action formulation. Closure of the finite N matrix Lorentz algebra nevertheless requires that such a ground state is simultaneously charged under all even rank antisymmetric matrix potentials. Additional invariance under the gauge symmetry mediated by the one-form matrix potential requires a ground state charged under the full spectrum of antisymmetric (p+1)-form matrix potentials with p taking any integer value less than 26. Matrix Dbrane democracy has a beautiful large N remnant in the form of mixed Chern-Simons couplings in the effective Lagrangian whenever the one-form gauge symmetry is nonabelian.