On the strong coupling region in quantum matrix string theory

TL;DR

This paper investigates the quantum behavior of matrix string theory in the strong coupling regime, focusing on the reduction to superstrings and analyzing quantum corrections up to two loops.

Contribution

It extends previous classical reductions to the quantum level, showing that quantum corrections cancel at one loop and leading large N terms at two loops.

Findings

Quantum corrections cancel at one-loop order.

At two-loop order, cancellations occur only for leading large N terms.

Supports the consistency of matrix string theory in the strong coupling limit.

Abstract

We study the behavior of matrix string theory in the strong coupling region, where matrix strings reduce to discrete light-cone type IIA superstrings except at the usual string-interaction points. In the large N limit, this reduction corresponds to the double-dimensional reduction from wrapped supermembranes on R^{10} x S^1 to type IIA superstrings on R^{10} in the light-cone gauge. Such reductions were shown classically, while they are not obvious quantum mechanically. Recently, Sekino and Yoneya analyzed the double-dimensional reduction of the wrapped supermembrane quantum mechanically to one-loop order in the strong coupling expansion. We analyze the problem in matrix string theory by using the same expansion. At the one-loop level, the quantum corrections cancel out as was presented by them. However, at the two-loop level we find that the quantum corrections cancel out only for the leading terms in the large N.