On Matrix Description of IIA Center of Mass

TL;DR

This paper demonstrates a direct derivation of type IIA string theory from 11D supermembrane theory, establishing a matrix description of the string's center of mass that aligns with the BFSS matrix model without double dimensional reduction.

Contribution

It introduces a novel approach to derive type IIA string from supermembrane by taking the large radius limit, linking 11D supermembrane theory directly to the BFSS matrix model.

Findings

Matrix description of string center of mass matches BFSS model

Direct connection between supermembrane and matrix model at strong coupling

Avoids double dimensional reduction in deriving type IIA string

Abstract

The correspondence between the ground states of the BFSS matrix model and the type IIA string is investigated through the 11th direction. We derive the type IIA string from 11 dimensional supermembrane wrapped around the 11th direction of periodicity without a procedure of the double dimensional reduction, but by taking the large limit of radius R in the 11th direction. It is shown that the center of mass of this string as a function on the 11th coordinate has the same matrix description as the BFSS matrix model in the flat direction. The fact shows that the matrix model at the strong string coupling in the flat direction is directly connected with the 11 dimensional supermembrane theory in the transverse light-cone frame.