On the string interpretation of M(atrix) theory

TL;DR

This paper explores the string interpretation of M(atrix) theory, showing how quantum numbers in 1+1D supersymmetric Yang-Mills theory relate to string configurations in IIA and IIB string theories, emphasizing SL(2,Z) symmetry.

Contribution

It demonstrates the correspondence between quantum numbers in 1+1D SYM and string configurations in IIA and IIB theories, highlighting the role of SL(2,Z) symmetry.

Findings

Quantum numbers in SYM match string configurations in IIA and IIB theories.

SL(2,Z) symmetry relates IIB string configurations to IIA framework.

Quantum moduli space explains the emergence of string states.

Abstract

It has been proposed recently that, in the framework of M(atrix) theory, N=8 supersymmetric U(N) Yang-Mills theory in 1+1 dimensions gives rise to type IIA long string configurations. We point out that the quantum moduli space of $SYM_{1+1}$ gives rise to two quantum numbers, which fit very well into the M(atrix) theory. The two quantum numbers become familiar if one switches to a IIB picture, where they represent configurations of D-strings and fundamental strings. We argue that, due to the SL(2,Z) symmetry, of the IIB theory, such quantum numbers must represent configurations that are present also in the IIA framework.