On the quantum matrix string

TL;DR

This paper investigates the quantum behavior of matrix string theory in the strong coupling limit, analyzing whether it reduces to type IIA superstring theory, and finds non-canceling quantum corrections at a specific order.

Contribution

It provides a detailed analysis of quantum corrections in matrix string theory at strong coupling, highlighting non-trivial effects that challenge classical reduction expectations.

Findings

Quantum corrections at order 1/g^2 do not cancel out.

Classical reduction from supermembranes to superstrings is not straightforward quantum mechanically.

The analysis uses a strong coupling expansion to explore the quantum behavior.

Abstract

We study the behavior of matrix string theory in the strong coupling region, where it is expected to reduce to discrete light-cone type IIA superstring. In the large $N$ limit, the reduction corresponds to the double-dimensional reduction from wrapped supermembranes on $R^{10}\times S^1$ to type IIA superstrings on $R^{10}$ in the light-cone gauge, which is shown classically, however it is not obvious quantum mechanically. We analyze the problem in matrix string theory by using the strong coupling ($1/g$) expansion. We find that the quantum corrections do not cancel out at $\mathcal{O}(1/g^2)$. Detailed calculations can be seen in Ref.\cite{UY}.