Matrix string theory, contact terms, and superstring field theory

Abstract

In this note, we first explain the equivalence between the interaction Hamiltonian of Green-Schwarz light-cone gauge superstring field theory and the twist field formalism known from matrix string theory. We analyze the role of the large N limit in matrix string theory, in particular in relation with conformal perturbation theory around the orbifold SCFT that reproduces light-cone string perturbation theory. We show how the scaling with N is directly related to measures on the moduli space of Riemann surfaces. The scaling dimension 3 of the Mandelstam vertex as reproduced by the twist field interaction is in this way related to the dimension 3(h-1) of the moduli space. We analyze the structure and scaling of the higher order twist fields that represent the contact terms. We find one relevant twist field at each order. More generally, the structure of string field theory seems more transparent in the twist field formalism. Finally we also investigate the modifications necessary to describe the pp-wave backgrounds in the light-cone gauge and we interpret a diagram from the BMN limit as a stringy diagram involving the contact term.

26 pages, 3 EPS figures, JHEP3 LaTeX; references added

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• Light-Cone String Field Theory in a Plane Wave Background
• D-branes and Azumaya noncommutative geometry: From Polchinski to Grothendieck
• Perturbative Vacua from IIB Matrix Model
• Twist Field as Three String Interaction Vertex in Light Cone String Field Theory
• Permutation combinatorics of worldsheet moduli space
• Comments on Supersymmetry Algebra and Contact Term in Matrix String Theory
• On LCSFT/MST Correspondence
• DLCQ Strings, Twist Fields and One-Loop Correlators on a Permutation Orbifold
• Recursive structures in string field theory
• Two-Loop String Theory on Null Compactifications