On the strong coupling region in quantum matrix string theory

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.

23 pages, 3 eps figures

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Cited by in corpus (8)

• From supermembrane to super Yang-Mills theory
• Wrapped membranes, matrix string theory and an infinite dimensional Lie algebra
• Comments on the global constraints in light-cone string and membrane theories
• (p,q)-string in the wrapped supermembrane on 2-torus -- A classical analysis of the bosonic sector --
• Perturbative dynamics of matrix string for the membrane
• Dilaton coupling revisited
• (p,q)-string in matrix-regularized membrane and type IIB duality
• Wrapped supermembrane on vanishing 2-torus