Membrane, Four-Brane and Dual Coordinates in the M(atrix) Theory Compactified on Tori

Abstract

In the M(atrix) theory by making the expansions of the matrices around the membrane and four-brane solutions we derive the three- and five-dimensional gauge theories on the dual tori. The explicit forms of solutions yield the dual coordinates and each expansion is related to a toroidal compactification of the M(atrix) theory. From the derived Lorentz and gauge invariant actions the gauge coupling constants are shown to be characterized by the volume of the dual tori.

9 pages, latex, no figures

References in corpus (4)

• A Large-N Reduced Model as Superstring
• Branes from Matrices
• Rotational Invariance in the M(atrix) Formulation of Type IIB Theory
• The Incredible Shrinking Torus