From Supermembrane to Matrix String

TL;DR

This paper presents a new method to embed supermembranes into matrix string theory directly, enabling the study of their connection in eleven dimensions without relying on traditional limits or dualities.

Contribution

It introduces a systematic approach to embed supermembranes into matrix string theory without using DLCQ limits or string dualities, allowing for arbitrary background constructions.

Findings

Constructed matrix-string action with a 7-brane background.

Demonstrated embedding method independent of DLCQ and dualities.

Enabled analysis of supermembrane and matrix string connection in 11D.

Abstract

We develop a systematic method of directly embedding supermembrane wrapped around a circle into matrix string theory. Our purpose is to study connection between matrix string and membrane from an entirely 11 dimensional point of view. The method does neither rely upon the DLCQ limit nor upon string dualities. In principle, this enables us to construct matrix string theory with arbitrary backgrounds from the corresponding supermembrane theory. As a simplest application of the formalism, the matrix-string action with a 7 brane background (Kaluza-Klein Melvin solution) with nontrivial RR vector field is given.