On the strong coupling region in quantum matrix string theory

Details On the strong coupling region in quantum matrix string theory On the strong coupling region in quantum matrix string theory

2002-07-23

arxiv.org/abs/hep-th/0207209v1

JHEP 0209 (2002) 019

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 3 eps figures

Scientific paper

10.1088/1126-6708/2002/09/019

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.

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